Dwork conjecture

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August undefined, 2024

WebApr 1, 2024 · In this paper, we answer a question due to Y. André related to B. Dwork's conjecture on a specialization of the logarithmic growth of solutions of p-adic linear differential equations. Precisely ... WebEnter the email address you signed up with and we'll email you a reset link.

[math/0005309] Higher rank case of Dwork

WebSelect search scope, currently: catalog all catalog, articles, website, & more in one search; catalog books, media & more in the Stanford Libraries' collections; articles+ journal articles & other e-resources WebAbstract. The Bombieri-Dwork conjecture predicts that the differential equations satisfied by $G$-functions come from geometry. In this paper, we will look at special ... simply right maximum absorbency pads

Dwork’s conjecture on unit root zeta functions - Semantic Scholar

WebIn mathematics, the Dwork unit root zeta function, named after Bernard Dwork, is the L-function attached to the p-adic Galois representation arising from the p-adic etale … WebNov 1, 1999 · Introduction In this article, we introduce a systematic new method to investigate the conjectural p-adic meromorphic continuation of Professor Bernard … WebKloosterman sums [17]. Dwork’s unit root conjecture [8] is the following: Conjecture (Dwork). For every integer k, the unit root zeta function L(U›k n;T) is p-adic meromorphic. For a so-called overconvergent F-crystal, the L-function is always mero-morphic by Dwork’s trace formula. The di–culty about this conjecture is that the unit ... simplyright neuss

Lecture 1: Weil conjectures and motivation - University of …

Dwork conjecture - Wikipedia

WebSymmetric powers played a pivotal role in Wan's proof of Dwork's meromorphy conjecture for unit root L-functions [22, 23,24]. The Kloosterman unit root L-function is defined as follows. ... WebSep 10, 2016 · There is an excellent book by Neal Koblitz "p-adic numbers, p-adic analysis and zeta-functions" were the Dwork's proof is stated in a very detailed way, including all … simply right logoWebDwork’s conjecture grew out of his attempt to understand the p-adic analytic variation of the pure pieces of the zeta function of a variety when the variety moves through an algebraic family. To give an important geometric example, let us con-sider the case that f : Y → X is a smooth and proper morphism over Fq with simply right inc ogden ut

"WebThe Dwork conjecture states that his unit root zeta function is p-adic meromorphic everywhere.[1] This conjecture was proved by Wan .[2][3][4] In mathematics, the Dwork unit root zeta function, named after Bernard Dwork, is the L-function attached to the p-adic Galois representation arising from the p-adic etale cohomology of an algebraic ... " - Dwork conjecture

Dwork conjecture

WebThe Weil conjectures are stated in a paper in 1949. He had earlier proved these conjectures for the case of curves (dv = 1) and Abelian varieties by extending earlier … Web开馆时间：周一至周日7:00-22:30 周五 7:00-12:00; 我的图书馆

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WebOct 22, 1987 · Volume 197, number 1,2 PHYSICS LETTERS B 22 October 1987 p-ADIC STRINGS, THE WEIL CONJECTURES AND ANOMALIES'' Bernard GROSSMAN Rockefeller University, New York, NY 10021, USA Received 22 May 1987 An analogy between the Veneziano amplitude and the p-adic interpolation of the beta-function is … WebLes conjectures de Weil ont largement influencé les géomètres algébristes depuis 1950 ; elles seront prouvées par Bernard Dwork, Alexandre Grothendieck (qui, pour s'y attaquer, mit sur pied un gigantesque programme visant à transférer les techniques de topologie algébrique en théorie des nombres), Michael Artin et enfin Pierre Deligne ...

WebJul 31, 2024 · The Bombieri–Dwork conjecture, also attributed to Yves André, which is given in more than one version, postulates a converse direction: solutions as G-functions, or p-curvature nilpotent mod p for almost all primes p, means an equation "arises from geometry". See also. Mirror symmetry conjecture; Mixed Hodge module; Meromorphic … WebDeligne's proof of the last of the Weil conjectures is well-known and just part of a huge body of work that has lead to prizes, medals etc (wink wink). The other conjectures were proved by Dwork and Grothendieck. According to Wikipedia, Deligne gave a second proof, and then mentions three more proofs. However, it is unclear from what I read as ...

WebSep 23, 2013 · Using Dwork's theory, we prove a broad generalisation of his famous p-adic formal congruences theorem. This enables us to prove certain p-adic congruences for … WebDwork's conjecture on unit root zeta functions By DAQING WAN* 1. Introduction In this article, we introduce a systematic new method to investigate the conjectural p-adic …

Webconjectures was outlined by Faltings [Fa], using a relative version of crystalline cohomology. However, ﬂeshing out the outline seems to present a formidable technical …

WebDwork’s conjecture on unit root zeta functions By DaqingWan* 1. Introduction In this article, we introduce a systematic new method to investigate the conjectural p-adic meromorphic … simply right inc simply right inc utahWebThe subject languished until the recent work of Chiarellotto and Tsuzuki [CT06]; inspired by this, André [And07] proved a conjecture of Dwork [Dwo73b, Conjecture 2] analogizing the specialization ... ray\u0027s primary arithmeticWebDwork in 1960. All the conjectures except Weil's Riemann hypothesis follow in a 'formal' way from the existence of a suitable theory of homology groups so that the Lefschetz for mula can be applied. One such theory was Grothendieck's etale theory developed by him in collaboration .with MArtin and others. ray\\u0027s primary arithmeticWebtechniques) of the ﬁrst one was also found by B. Dwork [Dw60]. The third conjecture was proved by P. Deligne about ten years later [De74]. We state these conjectures following Weil [We49] rather closely. We assume that Xis a projective scheme over Fq such that X×Spec(Fq) Spec(Fq) is irreducible and nonsingular. 1.3.1. Rationality. simplyright plus• Jean-Benoît Bost, Algebraic leaves of algebraic foliations over number fields, Publications Mathématiques de L'IHÉS, Volume 93, Number 1, September 2001 • Yves André, Sur la conjecture des p-courbures de Grothendieck–Katz et un problème de Dwork, in Geometric Aspects of Dwork Theory (2004), editors Alan Adolphson, Francesco Baldassarri, Pierre Berthelot, Nicholas Katz, François Loeser simply right premium diapers reviewWebMar 1, 2008 · Dwork’s conjecture on the logarithmic growth of solutions of p-adic differential equations - Volume 144 Issue 2 Skip to main content Accessibility help We use cookies to distinguish you from other users and to provide you with a … simplyright.teamehub.com