Dwork conjecture
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 ... 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 ...
Dwork conjecture
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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. 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].
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 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 …
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 ... 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.
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 ...
WebMar 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 … impact volleyball tallmadge ohioimpact volleyball club tallmadgeWebMay 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 … impact volleyball rapid city sdWebNov 5, 2016 · We investigate an analogue of the Grothendieck p-curvature conjecture, where the vanishing of the p-curvature is replaced by the stronger condition, that the … impact volleyball grandvilleWebDwork’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 … impact volleyball appleton wiWebMar 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 … impact volution training \\u0026 consultancyWebIn 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 … impact vps