Dwork conjecture
WebWhether or not I succeeded in doing so - or producing anything novel in the process - I cannot say for sure (probably not), but if it'd be helpful here is a copy: On a Theorem of … 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 …
Dwork conjecture
Did you know?
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 … 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
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 … 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 …
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 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.
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 …
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 ... flow around a cylinder reynolds numberWebDwork’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 flow around circular cylinders pdfWebMar 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 … greek creatures listWebSep 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 … greek credit cardsWebJul 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 … flow around a square cylinderWebDwork 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. greek creatures for kidsWebApr 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 ... greek creatures pokemon