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 ... 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 …
arXiv:math/0005309v1 [math.NT] 9 May 2000
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]. 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. high fashion sneakers women
Dwork family - Wikipedia
Webconjectures was outlined by Faltings [Fa], using a relative version of crystalline cohomology. However, fleshing out the outline seems to present a formidable technical … WebNov 1, 1999 · Introduction In this article, we introduce a systematic new method to investigate the conjectural p-adic meromorphic continuation of Professor Bernard … WebNov 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 … how high is a caravan