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 … 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 ...
Dwork conjecture
Did you know?
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 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 …
WebSep 23, 2013 · Using Dwork's theory, we prove a broad generalisation of his famous p-adic formal congruences theorem. This enables us to prove certain p-adic congruences for … 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 …
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 … 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
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 ...
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 ... dr william richards mobile alWebDwork’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 … dr william richards savannah gaWebEnter the email address you signed up with and we'll email you a reset link. dr william richheimerWeblast 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 … comfort seat classicWebApr 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 ... dr william richardson lehigh acres flWebMay 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 … comfort seat for electric bikeWebIn 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 … dr. william rhoton houston tx