Dwork conjecture
WebJul 1, 2024 · Dwork defined the log-growth Newton polygons of system (1.1) which presents the data of log-growth of all solutions of (1.1) at x = 0 and x = t. Moreover Dwork conjectured the following: Conjecture 1.3 [7, Conjecture 2] The log-growth Newton polygon at x = 0 is above the log-growth Newton polygon at x = t. WebIn the higher rank paper [17], we reduced Dwork’s conjecture from higher rank case over any smooth affine variety Xto the rank one case over the simplest affine space An. In the present paper, we finish our proof by proving the rank one case of Dwork’s conjecture over the affine space An, which is called the key lemma in [17].
Dwork conjecture
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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 … 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 …
WebDwork 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. WebIn algebraic geometry, a Dwork family is a one-parameter family of hypersurfaces depending on an integer n, studied by Bernard Dwork.Originally considered by Dwork in …
WebDwork’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 • 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
WebDWORK'S CONJECTURE THEOREM 1.1. For every integer k, the kth unit root zeta function L(Unk, T) is p-adic meromorphic. The general tool for p-adic meromorphic continuation of L-functions is to use Dwork's trace formula. It expresses the unit root zeta function as an alter-nating product of the Fredholm determinants of several continuous …
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 … description of medmerryWebDwork’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 … description of medium sweet winesWebThe 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 … chsp ad hoc grantchsp ad hoc fundingWebOct 10, 2015 · In 1949 Weil wrote a ground-breaking article introducing his celebrated conjectures on zeta functions for algebraic varieties of arbitrary dimension, … description of memory update protocolWebOct 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 … chsp accreditationWebDwork’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 … chsp aged care