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Arxiv.org
by A. Banfi; G. Corcella; M. Dasgupta; Y. Delenda; G. P. Salam; G. Zanderighi
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We review the work discussed and developed under the topic ``Resummation'' at Working Group 2 ``Multijet final states and energy flow'', of the HERA-LHC Workshop. We emphasise the role played by HERA observables in the development of resummation tools via, for instance, the discovery and resummation of non-global logarithms. We describe the event-shapes subsequently developed for hadron colliders and present resummed predictions for the same using the automated resummation program CAESAR. We...
Source: http://arxiv.org/abs/hep-ph/0508096v1
Arxiv.org
by A. Bauval; C. Hayat
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The cohomology ring with coefficients in $\Z_p$, where $p$ is a prime integer, of a Seifert manifold $M$, orientable or not orientable is obtained from a simplicial decomposition of $M$. Many choices must be made before applying Alexander-Whitney formula to get the cup-products. The most difficult choices are those of liftings from the cellular complex to the simplicial complex when we add the condition to be cocycles.
Source: http://arxiv.org/abs/1202.2818v2
Arxiv.org
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Let M be a moduli space of stable vector bundles on a curve with rank and degree fixed and coprime. We give a simple proof that the rational cohomology of M is generated by the Kunneth components of the Chern classes of the universal bundle. The proof applies also to some moduli spaces of vector bundles over higher-dimensional varieties.
Source: http://arxiv.org/abs/alg-geom/9202024v1
Arxiv.org
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The subject of this dissertation consists in analyzing a recent proposition, advanced by C.C.Barros, in which the non gravitational interactions can affect the space-time metric as in gravity. In fact, in the context of the Schwarzschild solution, the hydrogen atom is described in a completely new way : instead of following the usual approach to describe the electron under the Coulomb potential by using the minimal coupling, the "proton-electron" interaction is rather incorporated in...
Source: http://arxiv.org/abs/0906.2519v1
Arxiv.org
by A. Brotas
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The problem of a thread whose extremity is beyond the Schwarzschild horizon is discussed. We present a new coordinate system allowing to write the Schwarzschild metric in all regions. The system of coordinates introduced appears to be particulary indicated to study the passage of extended bodies throuth the Schwarzschild horizon,as it is the case of a thread that continues to attach a fisherman to a fish that entered a black hole.
Source: http://arxiv.org/abs/physics/0401033v1
The theory of algebraic-geometric codes has been developed in the beginning of the 80's after a paper of V.D. Goppa. Given a smooth projective algebraic curve X over a finite field, there are two different constructions of error-correcting codes. The first one, called "functional", uses some rational functions on X and the second one, called "differential", involves some rational 1-forms on this curve. Hundreds of papers are devoted to the study of such codes. In addition, a...
Source: http://arxiv.org/abs/0905.2311v1
Arxiv.org
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Let S(g,N,p) be the Siegel modular variety of principally polarized abelian varieties of dimension g with a \Gamma_0(p)-level structure and a full N-level structure (where p is a prime not dividing N \geq 3 and \Gamma_0(p) is the inverse image of a Borel subgroup of Sp(2g,F_p) in Sp(2g,Z)). This variety has a natural integral model over Z[1/N] which is not semi-stable over the prime p if g>1. Using the theory of local models of Rapoport-Zink, we construct a semi-stable model of S(g,N,p) over...
Source: http://arxiv.org/abs/math/9811009v1
JSTOR Early Journal Content, Mnemosyne
by A. H. G. P. van Den
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"De modis nuptiarum ineundarum Iure Attico" is an article from Mnemosyne, Volume 5 . View more articles from Mnemosyne . View this article on JSTOR . View this article's JSTOR metadata . You may also retrieve all of this items metadata in JSON at the following URL: https://archive.org/metadata/jstor-4423953
Source: http://www.jstor.org/stable/10.2307/4423953
by A. H. M. Almawgani, A. T. Hindi, Muhammed Irfan, Hisham Alghamidi, Saifur Rahman
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Energy sources differ throughout the world-, as do the costs of acquiring those sources. Electric energy has become an important element in our daily lives, especially for those devices that cannot be eliminated due to necessity. The usage of mobile phones has become an important element of our lives and their battery consumption is increasing due to the installation of a variety of Android applications. Electricity is required to charge the battery of the mobile phone; however, and at times,...
Topics: Mobile charging, Peltier, Thermoelectricity
Arxiv.org
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Topologically, a compact Riemann surface $X$ of genus $g$ is a $g$-holed torus (a sphere with $g$ handles). This paper is an introduction to the theory of compact Riemann surfaces and algebraic curves. It presents the basic ideas and properties as an expository essay, explores some of their numerous consequences and gives a concise account of the elementary aspects of different viewpoints in curve theory. We discuss and prove most intuitively some geometric-topological aspects of the algebraic...
Source: http://arxiv.org/abs/0903.2156v1
Arxiv.org
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The Riemann-Roch theorem is of utmost importance in the algebraic geometric theory of compact Riemann surfaces. It tells us how many linearly independent meromorphic functions there are having certain restrictions on their poles. The aim of this article is to present a simple direct proof of this theorem and explore some of its numerous consequences. We also give an analytic proof of the Riemann-Hurwitz formula. As an application, we compute the genus of some interesting algebraic curves.
Source: http://arxiv.org/abs/0706.2673v1
JSTOR Early Journal Content, The Belfast Monthly Magazine
by A. R.
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"La Verdure" is an article from The Belfast Monthly Magazine, Volume 5 . View more articles from The Belfast Monthly Magazine . View this article on JSTOR . View this article's JSTOR metadata . You may also retrieve all of this items metadata in JSON at the following URL: https://archive.org/metadata/jstor-30023192
Source: http://www.jstor.org/stable/10.2307/30023192
JSTOR Early Journal Content, The Belfast Monthly Magazine
by A. S.
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"Une Ode/An Ode" is an article from The Belfast Monthly Magazine, Volume 5 . View more articles from The Belfast Monthly Magazine . View this article on JSTOR . View this article's JSTOR metadata . You may also retrieve all of this items metadata in JSON at the following URL: https://archive.org/metadata/jstor-30072640
Source: http://www.jstor.org/stable/10.2307/30072640
Arxiv.org
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The thesis was defended by the author in University of Angers (France). It consists of four parts. The fist part (in French) is introductory and is devoted to relation between quantum groups, integrable systems and statistical models. In the second part (in English) the transition function of the periodic Toda chain is interpreted in terms of the formalism of rational Lax operators. In the third part (in French) one compares two elliptic quantum groups and one conclude that they belong to two...
Source: http://arxiv.org/abs/0901.3104v1
Arxiv.org
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In this paper we propose a higher non abelian cohomology theory without using the notion of n-category. We use this to study compositions series of affine manifolds and cohomology of manifolds.
Source: http://arxiv.org/abs/math/0108017v1
Arxiv.org
by A. W. Blain; R. J. Ivison; Ian Smail; J. -P. Kneib
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The flux density from undetected sources in the observing beam of a telescope produces source confusion noise in the resulting maps of the sky, and thus limits sensitivity. In a recent paper we discussed this effect in the millimetre/submillimetre waveband, using a simple model of galaxy evolution that could account for the gravitationally lensed images of distant dusty galaxies newly discovered in the fields of clusters of galaxies. New models explain all the available mm, submm and...
Source: http://arxiv.org/abs/astro-ph/9806063v1
Arxiv.org
by Abdelghani Zeghib
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Here, we classify Lie groups acting isometrically on compact Lorentz manifolds, and in particular we describe the geometric structure of compact homogeneous Lorentz manifolds.
Source: http://arxiv.org/abs/math/9810202v1
Arxiv.org
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All the actions considered here are (real) analytic. Consider a subgroup of finite index of SL(n, Z). We prove, in particular, the (global) homotopical rigidity, for both its standard affine action on the torus of dimension n > 2, and its standard projective action on the sphere of dimesnion n-1>3.
Source: http://arxiv.org/abs/math/9903002v1
Arxiv.org
by Abdelmajid Ben Hadj Salem
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This note presents an application of the quasi-conform transformation in surveying.
Source: http://arxiv.org/abs/1112.4259v1
Arxiv.org
by Abdelmoumène Zekiri; Farid Bencherif
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In this paper, we give a short proof of a relation generalizing many identities for Bernoulli numbers.
Topics: Combinatorics, Mathematics
Source: http://arxiv.org/abs/1506.08112
Arxiv.org
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We study the action of irreducible derivations X on some Hilbert's quasi-regular algebras QRH of germes at 0 of analytic functions on (U,0), where U is a semi-algebraic set: that is, we show that these algebras are X-finite or locally X-finite, ie. the degre of the integral projection is finite by restriction to fibers of elements of QRH, and the differential ideals are noetherian or locally noetherian. We then give an important application of this material to the Hilbert's 16th problem about...
Source: http://arxiv.org/abs/0912.1560v1
Arxiv.org
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We prove a convergence property for some families of finely harmonic functions on a fine domain $U$ of $\RR^n$ ($n\ge 2$), and we apply it to prove some regularity of the fine Green kernel of $U$.
Topics: Analysis of PDEs, Mathematics
Source: http://arxiv.org/abs/1504.01447
Arxiv.org
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We categorify the coefficients of the Burau representation matrix using elementary geometrical methods. We show the faithfulness of this categorification in the sense that it detects the trivial braid.
Source: http://arxiv.org/abs/0908.2515v2
Arxiv.org
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We study the possibility of factoring a covariant distribution on reductive Lie algebras as finite sum of products of an invariant distribution by a covariant polynomial.
Source: http://arxiv.org/abs/0901.3049v1
For discrete groups, we construct two bounded cohomology classes with coefficients in the second space of the reduced real $\ell_1$-homology. Precisely, we associate to any discrete group $G$ a bounded cohomology class of degree two noted $\frak{g}_2\in H_b^2(G, \bar{H}_2^{\ell_1}(G, \mathbb R))$. For $G$ and $\Pi$ groups and $\theta : \Pi\rightarrow Out(G)$ any homomorphism we associate a bounded cohomology class of degree three noted $[\theta]\in H_b^3(\Pi, \bar{H}_2^{\ell_1}(G, \mathbb R))$....
Source: http://arxiv.org/abs/1211.4451v1
Arxiv.org
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These notes form an introduction to Lie algebras and group theory. Most of the material can be found in many works by various authors given in the list of references. The reader is referred to such works for more detail.
Source: http://arxiv.org/abs/1205.3335v1
Arxiv.org
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We prove that admissible functions for Fubini-Study metrics on the complex projective space $P_{m}C$, of complex dimension $m$, invariant by a convenient automorphisms group, are lower bounded by a function going to minus infinity on the boundary of usual charts of $P_{m}C$. A similar lower bound holds on some projective manifolds. This gives an optimal constant in a Hormander type inequality on these manifolds, which allows us to establish the existence of Einstein-Kahler metrics on them.
Source: http://arxiv.org/abs/math/0305291v1
Arxiv.org
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For a fixed number field and an elliptic curve defined and semi-stable over this number field, we consider the set of prime numbers p such that the Galois representation attached to the p-torsion points of the elliptic curve is reducible. When the number field satisfies a certain necessary condition, we give an explicit bound, depending only on the number field and not on the semi-stable elliptic curve, for these primes. This generalizes previous results of Kraus.
Source: http://arxiv.org/abs/1202.1649v1
Arxiv.org
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Let K be a fixed number field and G its absolute Galois group. We give a bound C(K), depending only on the degree, the class number and the discriminant of K, such that for any elliptic curve E defined over K and any prime number p strictly larger than C(K), the image of the representation of G attached to the p-torsion points of E contains a subgroup of homotheties of index smaller than 12.
Source: http://arxiv.org/abs/1007.4725v1
Arxiv.org
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This article deals with the Galois representation attached to elliptic curves with an isogeny of prime degree over a number field. We first determine uniform criteria for the irreducibility of Galois representations attached to elliptic curves in some infinite families, characterised by their reduction type at some fixed places of the base field. Then, we give an explicit form for a bound that appear in a theorem of Momose. Finally, we use these results to precise a previous theorem of the...
Source: http://arxiv.org/abs/1103.3892v2
Arxiv.org
by Ahmed Abbes; Michel Gros
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We develop a new approach for the p-adic Simpson correspondence, closely related to the original approach of Faltings, but also inspired by the work of Ogus and Vologodsky on an analogue in characteristic p>0. The aim of this article is to give an extensive overview of the theory that has been developped in two articles, the first one (arXiv:1102.5466) devoted to the local aspects and the second one (arXiv:1301.0904) to the global aspects.
Source: http://arxiv.org/abs/1301.1443v1
Arxiv.org
by Ahmed Abbes; Takeshi Saito
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We develop, for an l-adic etale sheaf on a complete trait of characteristic p>0, the notion of characteristic variety. Our approach, inspired by the microlocal analysis of Kashiwara and Schapira, is a complement to our ramification theory for local fields with general residue fields. We formulate the main property that should be satisfied by the characteristic variety (the isogeny conjecture), and prove it for rank one sheaves unconditionally on the trait, or unconditionally on the sheaf if...
Source: http://arxiv.org/abs/math/0602285v3
Coache A. & Rainon B. , 2020. – Les Hesperiidae de la forêt de Pénélan (Pénéssoulou, Bénin), avec la liste des rhopalocères rencontrés (Lepidoptera, Papilionoidea, Hesperiidae). Faunitaxys , 8(5) : 1 – 17.  https://doi.org/10.57800/faunitaxys-8(5) - http://zoobank.org/References/A07E2059-E410-45DE-90EE-9CC27900BD02   Résumé . – Nous avons recensé un nombre élevé d’Hesperiidae (69 espèces) dans la forêt de Pénélan, située sur le territoire de la commune de Bassila...
Topics: Papilionoidea, Hesperiidae, Pénélan, Pénessoulou, Bassila, Bénin, Afrique de l’Ouest
Faunitaxys
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Coache A. & Rainon B. , 2020. – Contribution à la connaissance des Cassidinae du Bénin (Coleoptera, Chrysomelidae). Faunitaxys , 8(11) : 1 – 53.  https://doi.org/10.57800/faunitaxys-8(11) - http://zoobank.org/BE3480F9-7304-42F4-8623-D90450B3738D Résumé . – Cette première évaluation des Cassidinae du Bénin répertorie 32 espéces, dont 5 sont inédites. L’étude intègre 20 espèces supplémentaires très probablement présentes au Bénin, car citées des pays frontaliers....
Topics: Coleoptera, Chrysomelidae, Cassidinae, West-Africa, Benin, biogeography, distribution
Arxiv.org
by Alain Cournier; Swan Dubois; Vincent Villain
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A snap-stabilizing algorithm ensures that it always behaves according to its specifications whenever it starts from an arbitrary configuration. In this paper, we interest in the message forwarding problem in a message-switched network. We must manage network ressources in order to deliver messages to any processor of the network. In this goal, we need information given by a routing algorithm. But, due to the context of stabilization, this information can be initially corrupted. It is why the...
Source: http://arxiv.org/abs/0905.1786v1
Arxiv.org
by Alain Genestier; Vincent Lafforgue
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In this article, we apply the methods of our work on Fontaine's theory in equal characteristics to the $\varphi/\mathfrak S$-modules of Breuil and Kisin. Thanks to a previous article of Kisin, this yields a new and rather elementary proof of the theorem "weakly admissible implies admissible" of Colmez-Fontaine.
Source: http://arxiv.org/abs/1202.6571v1
Arxiv.org
by Alain Lascoux; Michel Lassalle
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We prove an identity about partitions, previously conjectured in the study of shifted Jack polynomials (math.CO/9903020). The proof given is using $\lambda$-ring techniques. It would be interesting to obtain a bijective proof.
Source: http://arxiv.org/abs/math/0001082v1
Arxiv.org
by Alain Lecomte
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In Logic, non reflexivity translates into the absence of the identity axiom. This opens the field to the treatment of many language phenomena, like fallacies. Ludics, a frame invented by J-Y Girard, because it is founded on loci (adresses) and not on formulae, allows such a treatment.
Source: http://arxiv.org/abs/0910.1483v1
On \'{e}tudie la covariance (pour la mesure de Gibbs) des spins en deux sites dans le cas d'un mod\`{e}le de Sherrington--Kirkpatrick avec champ externe; lorsque le nombre de sites du mod\`{e}le tend vers l'infini, une \'{e}valuation asymptotique des moments d'ordre $p$ de cette covariance permet d'obtenir un th\'{e}or\`{e}me limite faible avec une loi limite en g\'{e}n\'{e}ral non gaussienne. We study the covariance (for Gibbs measure) of spins at two sites in the case of a...
Source: http://arxiv.org/abs/math/0703790v1
Arxiv.org
by Alberto Dario Arabia; Zoghman Mebkhout
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In order to have cohomological operations for de Rham p-adic cohomology with coefficients as manageable as possible, the main purpose of this paper is to solve intrinsically and from a cohomological point of view the lifting problem of smooth schemes and their morphisms from characteristic p > 0 to characteristic zero which has been one of the fundamental difficulties in the theory of de Rham cohomology of algebraic schemes in positive characteristic since the beginning. We show that...
Source: http://arxiv.org/abs/1009.3108v1
Arxiv.org
by Alberto Minguez
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Let $F$ be a non-Archimedean locally compact field and let $D$ be a central division algebra over $F$. Let $\pi_1$ and $\pi_2$ be respectively two smooth irreducible representations of ${\rm GL}(n_1,D)$ and ${\rm GL}(n_2,F)$, $n_1, n_2 \geq 0$. In this article, we give some sufficient conditions on $\pi_1$ and $\pi_2$ so that the parabolically induced representation of $\pi_1 \otimes \pi_2$ to ${\rm GL}(n_1+n_2,D)$ has a unique irreducible quotient. In the case where $\pi_1$ is a cuspidal...
Source: http://arxiv.org/abs/0709.3194v1
Arxiv.org
by Alberto Minguez; Vincent Sécherre
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Soit F un corps commutatif localement compact non archim\'edien de caract\'eristique r\'esiduelle p, soit D une F-alg\`ebre \`a division centrale de dimension finie et soit R un corps alg\'ebriquement clos de caract\'eristique diff\'erente de p. Nous d\'efinissons la notion de R-repr\'esentation irr\'eductible banale de G=GL(m,D), notion qui g\'en\'eralise celle de caract\'eristique banale pour G, et qui repose sur une condition portant sur le support cuspidal de la repr\'esentation et...
Source: http://arxiv.org/abs/1110.2701v1
Arxiv.org
by Alberto Minguez; Vincent Sécherre
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Let F be a non-Archimedean locally compact field of residue characteristic p, let D be a finite dimensional central division F-algebra and let R be an algebraically closed field of characteristic different from p. We classify all smooth irreducible representations of GL(m,D) with coefficients in R, in terms of multisegments, generalizing works by Zelevinski, Tadic and Vign\'eras. We prove that any irreducible R-representation of GL(m,D) has a unique supercuspidal support, and thus get two...
Source: http://arxiv.org/abs/1110.1467v1
Arxiv.org
by Alberto Mínguez; Vincent Sécherre
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Let F be a non-Archimedean local field of residual characteristic p, and $\ell$ be a prime number different from p. We consider the local Jacquet-Langlands correspondence between $\ell$-adic discrete series of GL(n,F) and an inner form GL(m,D). We show that it respects the relationship of congruence modulo $\ell$. More precisely, we show that two integral $\ell$-adic discrete series of GL(m,D) are congruent modulo $\ell$ if and only if the same holds for their Jacquet-Langlands transfers to...
Topics: Number Theory, Mathematics, Representation Theory
Source: http://arxiv.org/abs/1507.04119
Arxiv.org
by Alberto S. Cattaneo; Charles Torossian
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In this article we use the expansion for biquantization described in Cattaneo-Felder [math.QA/0309180] for the case of symmetric spaces. We introduce a function of two variables $E(X,Y)$ for any symmetric pairs. This function has an expansion in terms of Kontsevich's diagrams. We recover most of the known results though in a more systematic way by using some elementary properties of this $E$ function. We prove that Cattaneo and Felder's star product coincides with Rouviere's for any symmetric...
Source: http://arxiv.org/abs/math/0609693v4
Arxiv.org
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Let F be a finite field and let C be a smooth projective curve over F. For some smooth projective surfaces X over F we establish that the third unramified cohomology of the product of X and C vanishes. This applies in particular to geometrically rational surfaces. Soit F un corps fini et soit C une courbe projective et lisse sur F. Pour certaines surfaces projectives et lisses X sur F on \'etablit la nullit\'e du troisi\`eme groupe de cohomologie non ramifi\'ee du produit de X et C. Cela...
Source: http://arxiv.org/abs/1203.2141v1
Arxiv.org
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Soit K le corps des fractions d'une surface projective et lisse, g\'eom\'etriquement int\`egre, d\'efinie sur un corps fini F. Soit C/K une conique. Parimala et Suresh ont montr\'e que le groupe de cohomologie non ramifi\'ee en degr\'e trois de K(C) \`a coefficients de torsion est nul. Dans cette note on \'etend leur r\'esultat aux vari\'et\'es de Severi-Brauer associ\'ees \`a une alg\`ebre centrale simple dont d'indice l est premier et diff\'erent de char F.
Source: http://arxiv.org/abs/1101.2625v1
Arxiv.org
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Using the construction of Colliot-Th\'el\`ene and Ojanguren, we exhibit an example of a smooth projective geometrically rational variety X defined over a finite field F_p with an algebraic closure \bar F_p and the absolute Galois group G, such that the group H^3_nr(X, Z/2) is nonzero and the map CH^2(X)\to CH^2(\bar X)^G is not surjective.
Source: http://arxiv.org/abs/1004.1897v2
Arxiv.org
by Alessio Porretta; Laurent Veron
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We prove that, if $g$ is a continuous asymptotically convex function, any solution $u$ of $-\Delta u+g(u)=0$ in a ball B which tends to infinity on $\partial B$ is radially symmetric.
Source: http://arxiv.org/abs/0805.3657v1
DOI.ORG Referenced Papers Mirror
by Alex McAulay
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This paper is in the public domain in USA. Metadata comes from the CrossRef API, see full record in the source URL below.
Topic: journals
Source: https://api.crossref.org/works/10.1098/rspl.1895.0071
Arxiv.org
by Alexander Grothendieck; Michele Raynaud
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Le texte pr\'esente les fondements d'une th\'eorie du groupe fondamental en G\'eom\'etrie Alg\'ebrique, dans le point de vue ``kroneckerien'' permettant de traiter sur le m\^eme pied le cas d'une vari\'et\'e alg\'ebrique au sens habituel, et celui d'un anneau des entiers d'un corps de nombres, par exemple. The text presents the foundations of a theory of the fundamental group in Algebraic Geometry from the Kronecker point of view, allowing one to treat on an equal footing the case of an...
Source: http://arxiv.org/abs/math/0206203v2
Arxiv.org
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New updated edition by Yves Laszlo of the book ``Cohomologie locale des faisceaux coh\'erents et th\'eor\`emes de Lefschetz locaux et globaux (SGA 2)'', Advanced Studies in Pure Mathematics 2, North-Holland Publishing Company - Amsterdam, 1968. Published by the Societe Mathematique de France http://smf.emath.fr/Publications/DocumentsMathematiques/ Original text also available in the LaTeX file. Dans cet ouvrage, on montre des th\'eor\`emes d'alg\'ebrisation et de puret\'e qui permettent...
Source: http://arxiv.org/abs/math/0511279v1
Arxiv.org
by Alexandre Bouayad
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Interpolating Langlands Quantum Groups of Rank 1 -- We study a certain family, parameterized by an positive integer g, of double deformations of the envelopping algebra U(sl2), in the spirit of arXiv:0809.4453. We prove that each of these double deformations simultaneously deforms two rank 1 quantum groups. We show this interpolating property explains the Langlands duality for the representations of the quantum groups in rank 1. Hence we prove a conjecture of arXiv:0809.4453 in this case : we...
Source: http://arxiv.org/abs/1107.1992v1
Arxiv.org
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This paper is devoted to the description of our recent results on the spectral behavior of one-dimensional adiabatic quasi-periodic Schrodinger operators. The specific operator we study is a slow periodic perturbation of an incommensurate periodic Schrodinger operator, and we are interested in energies where the perturbation creates a strong interaction between two consecutive bands of the background periodic operator. We describe the location of the spectrum and its nature and discuss the...
Source: http://arxiv.org/abs/math-ph/0403060v1
Arxiv.org
by Alexandre Sine
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A complex algebraic variety defined over the reals is maximal when the sum of its Betti numbers for Borel Moore homology with $\zz$ coefficients coincides with the sum of the Betti numbers of its real part. We will show in this paper that toric varieties of dimension 4 are maximal.
Source: http://arxiv.org/abs/0803.3196v1
Arxiv.org
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We prove the Jacquet-Langlands local correspondence in non-zero characteristic, using the proof by Deligne, Kazhdan and Vign\'eras for the zero characteristic case and the theory of closed fields of Kazhdan. We also prove the orthogonality relations for an inner form of $GL_n$ in non-zero characteristic.
Source: http://arxiv.org/abs/math/0201117v1
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We propose a generalisation of the Jacquet-Langlands correspondence to the whole Grothendieck group of finite lenght admissible representations. As an application we prove some particular cases of the global Jacquet-Langlands correspondence, and that a class of representations of a inner form of GL_n over a p-adic field is unitarisable, which agree with some conjecture of Tadic.
Source: http://arxiv.org/abs/math/0201142v2
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The paper investigates higher dimensional analogues of Burago's inequality bounding the area of a closed surface by its total curvature. We obtain sufficient conditions for hypersurfaces in 4-space that involve the Ricci curvature. We get semi-local variants of the inequality holding in any dimension that involve domains with non-vanishing Gauss-Kronecker curvature. The paper also contains inequalities of isoperimetric type involving the total curvature, as well as a "reverse"...
Source: http://arxiv.org/abs/math/0212302v1
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Following Steinberg, we construct an adjoint quotient for the Vinberg semi-group and a section to this quotient. Then, after Ng\^o, we show the existence of a regular centralizer on it and use it to compute the affine Springer fibers for groups.
Source: http://arxiv.org/abs/1203.0975v2
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by Alexis Bouthier
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After reviewing some basic facts about pure and mixed motives, we explain, following Deligne-Goncharov, how to construct a de Rham realisation functor from the category of geometric mixed motives to the category of bifiltered vector spaces.
Source: http://arxiv.org/abs/0909.5376v1
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This article is the third one of the series \cite{Bt1}-\cite{Bt2} on Hitchin-Frenkel-Ngo fibration and Vinberg semigroup. Ngo \cite{N} proved the fundamental lemma for Lie algebras in equal characteristics as a consequence of geometric stabilization. This article show the geometric stabilization in the group case which was conjectured by Frenkel and Ngo \cite{FN}. Along the proof, we establish an identity between orbital integrals, which is analog to Langlands-Shelstad fundamental lemma. From...
Topics: Algebraic Geometry, Mathematics
Source: http://arxiv.org/abs/1502.07148
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by Alexis Marin
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A glimpse at $\sum{{\sin(kx)}\over{k}}$ gives a few lines exposition of Fourier series's quadratic mean convergence for square integrable functions and Dirichlet's convergence theorem of the Fourier serie of a piecewise differentiable function with integrable derivative.
Source: http://arxiv.org/abs/1211.3914v4
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Let $X$ be a complete symmetric variety i.e. the wonderful compactification of a symmetric $G-$homogeneous space (where $G$ is a simply-connected semi-simple linear algebraic group). If $L$ is a line bundle over $X$ and if $C$ is a Bialynicki-Birula cell of codimension $c$ in $X$, then the Lie algebra $\mathfrak g$ of $G$ operates naturally on the cohomology group with support : $H^c_C(L)$. One gives here a necessary condition on the cell $C$ for that $\mathfrak g-$module have a finite...
Source: http://arxiv.org/abs/0709.2584v2
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The Borel-Weil-Bott theorem describes the cohomology of line bundles over flag varieties. Here, one generalizes this theorem to a wider class of projective varieties : the wonderful varieties of minimal rank.
Source: http://arxiv.org/abs/math/0507581v2
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For a projective variety $X$ and a line bundle $L$ over $X$, one considers the $L-$twisted global differential operator algebra $\call{D}_L(X)$ which naturally operates on the space of global sections $H^0(X,L)$. In the case where $X$ is the wonderful compactification of the group $\mathrm{PGL}_3$, one proves that the space $H^0(X,L)$ is an irreducible representation of the algebra $\call{D}_L(X)$ or zero. For that, one introduces a $2-$order differential operator which is defined over whole...
Source: http://arxiv.org/abs/1001.4204v1
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Let $L$ and $L'$ be two invertible sheaves over a projective variety $X$. We suppose that $L$ and $L'$ are generated by their global section spaces $\Gamma(L)$ and $\Gamma(L')$. We prove in this article that the morphism : \[\Gamma(L) \otimes \Gamma(L') \to \Gamma(L \otimes L')\] is surjective, in the case where $X$ is a rank one wonderful variety. In particular, the cone over a rank one wonderful variety defined by a very ample invertible sheaf is always normal. Soient $L$ et $L'$ deux...
Source: http://arxiv.org/abs/1103.4446v2
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On s'int\'eresse aux compactifications \'equivariantes d'un groupe r\'eductif quelconque, $G$, vu comme espace homog\`ene pour $G \times G$. Pour un rev\^etement fini $\widetilde{G}$ de $G$, les groupes de cohomologie des fibr\'es en droites sur ces compactifications sont naturellement des $\widetilde{G} \times \widetilde{G}-$modules de dimension finie. On d\'etermine, dans cet article, tous ces $\widetilde{G} \times \widetilde{G}-$modules en calculant leur multiplicit\'e selon chaque...
Source: http://arxiv.org/abs/math/0303125v1
JSTOR Early Journal Content, Hermes
by Alfred Breysig
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"Zu den Germanicus-Scholien" is an article from Hermes, Volume 1 . View more articles from Hermes . View this article on JSTOR . View this article's JSTOR metadata . You may also retrieve all of this items metadata in JSON at the following URL: https://archive.org/metadata/jstor-4470976
Source: http://www.jstor.org/stable/10.2307/4470976
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by Ali Baklouti; Sami Dhieb; Dominique Manchon
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The purpose of the present work is to describe a dequantization procedure for topological modules over a deformed algebra. We define the characteristic variety of a topological module as the common zeroes of the annihilator of the representation obtained by setting the deformation parameter to zero. On the other hand, the Poisson characteristic variety is defined as the common zeroes of the ideal obtained by considering the annihilator of the deformed representation, and only then setting the...
Source: http://arxiv.org/abs/math/0302171v2
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In this note we give an explicit integral representation and an expanssion for the heat kernel $ H_n(t;x,y)$ associated to Fubini-Study Laplacians on quaternionic projective spaces $\mathbb{P}^n(\mathbb H)$, $n \geq 1$. This was possible by establishing a real integral representation formula for Jacobi polynomials of type $P_l^{(2n-1,1)}(\cos(2d))$.
Source: http://arxiv.org/abs/1103.5000v1
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In a non supervised Bayesian estimation approach for inverse problems in imaging systems, one tries to estimate jointly the unknown image pixels $f$ and the hyperparameters $\theta$ given the observed data $g$ and a model $M$ linking these quantities. This is, in general, done through the joint posterior law $p(f,\theta|g;M)$. The expression of this joint law is often very complex and its exploration through sampling and computation of the point estimators such as MAP and posterior means need...
Source: http://arxiv.org/abs/0904.4148v1
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In a non supervised Bayesian estimation approach for inverse problems in imaging systems, one tries to estimate jointly the unknown image pixels $\fb$ and the hyperparameters $\thetab$. This is, in general, done through the joint posterior law $p(\fb,\thetab|\gb)$. The expression of this joint law is often very complex and its exploration through sampling and computation of the point estimators such as MAP and posterior means need either optimization of non convex criteria or int\'egration of...
Source: http://arxiv.org/abs/0706.1914v1
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In 1976, Baum and Sweet gave the first example of a power series that is algebraic over the field $\mathbb F_2(T)$ and whose continued fraction expansion has partial quotients with bounded degree. This power series is the unique solution of the equation $TX^3+X-T=0$. In 1986, Mills and Robbins described an algorithm that allows to compute the continued fraction expansion of the Baum--Sweet power series. In this paper, we consider the more general equations $TX^{r+1}+X-T=0$, where $r$ is a power...
Source: http://arxiv.org/abs/1001.3127v1
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by Alireza Abdollahi
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In this Note we study the groups $G$ satisfying condition $(\mathcal{N},n)$, that is, every subset of $G$ with $n+1$ elements contains a pair $\{x,y\}$ such that the subgroup $$ is nilpotent.
Source: http://arxiv.org/abs/math/0212333v1
In the theory of approximation there are some problems on approximation of compacts in functional spaces by nonlinear families : first we deal with the polynomial case, and then we consider the analytic case. We demonstrate a negative result in which we claim that an analytic familie of functions with $N$ parameters can not approach the compact $\Lambda_l(I^s)$ closer than of order $(N\log N)^{\frac{l}{s}}$, when $N$ increases. As applied to an inverse problem in Sturm-Liouville theory, this...
Source: http://arxiv.org/abs/math/0601730v1