Dwork conjecture

WebOct 24, 2024 · 1La conjecture de Weil. II. Inst. Hautes Etudes Sci. Publ. Math. No. 52 ... The methods of Dwork are p-adic. For Xa non-singular hypersurface in a projective space they also provided him with a cohomological interpretation of the zeros and poles, and the functional equation. They inspired the crystalline theory of Grothendieck and WebThis yields nonarithmetic counterexamples to a conjecture of Dwork (Conjecture 6.3). An arithmetic counterexample to Dwork’s conjecture has previously been found by Krammer ([18]). Krammer’s example is the uniformizing differential equation of a Shimura curve C = H/Γ. Krammer’s strategy in computing the uniformizing differential equation

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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]. 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 … the prince family reacting to 69 https://webhipercenter.com

Crux of Dwork

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 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 … Weblast conjecture used ideas and methods well outside the scope of etale cohomology. It is an open question to this day whether a purely Grothendieckian proof of the Riemann … the prince family songs

Dwork’s conjecture on the logarithmic growth of solutions of

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Dwork conjecture

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• 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 Web2. The Bombieri-Dwork conjecture The Bombieri-Dwork conjecture is an attempt to characterize which differential equations are of geometric origin. Before we introduce this conjecture, let us first look at an interesting example. The Legendre family of elliptic curves is defined by the equation Eλ: y2 = x(x − 1)(x−λ), λ ∈ C− {0,1 ...

Dwork conjecture

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WebThe 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 ... WebEnter the email address you signed up with and we'll email you a reset link.

WebDec 4, 1998 · Dwork's conjecture, proved by Wan, means the L-functions are p-adically meromorphic (see [5, 6]). Clearly, f is an S … 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 …

Webtechniques) 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. WebMay 9, 2000 · Daqing Wan. This is the final version of ANT-0142 ("An embedding approach to Dwork's conjecture"). It reduces the higher rank case of the conjecture over a general base variety to the rank one case over the affine space. The general rank one case is completed in ANT-0235 "Rank one case of Dwork's conjecture". Both papers will …

WebMar 1, 2008 · Dwork’s conjecture on the logarithmic growth of solutions of p -adic differential equations Part of: Differential and difference algebra Published online by …

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 sighubert sims 4WebKloosterman 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 ... the prince family real phone numberWebOct 10, 2015 · In 1949 Weil wrote a ground-breaking article introducing his celebrated conjectures on zeta functions for algebraic varieties of arbitrary dimension, … sight your gunWebNov 1, 1999 · Annals of Mathematics, 150 (1999), 867–927 arXiv:math/9911270v1 [math.NT] 1 Nov 1999 Dwork’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 meromorphic continuation of Professor Bernard Dwork’s unit root zeta … sigh unzips pantsWebDwork 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. sight 意味 読み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. ... sight 読み方WebNov 1, 1999 · Introduction In this article, we introduce a systematic new method to investigate the conjectural p-adic meromorphic continuation of Professor Bernard … sigh unb