Dwork conjecture
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 … 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
Dwork conjecture
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Webconjectures was outlined by Faltings [Fa], using a relative version of crystalline cohomology. However, fleshing out the outline seems to present a formidable technical … 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 ...
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 … 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 ...
WebApr 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 ... 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 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 …
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 … small round wood kitchen tableWebKloosterman 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 ... highmark plumbingWebThe 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 ... highmark phone numberWebIn 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]. highmark pgh addressWebSelect 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 highmark plans for 2022WebAbstract. The Bombieri-Dwork conjecture predicts that the differential equations satisfied by $G$-functions come from geometry. In this paper, we will look at special ... small round wood table 28 weight 27 heightWebby Dwork before the development of Etale cohomology, though his proof did not give nearly as much information. 3 Cohomology of manifolds and Grothendieck’s Dream Let’s recall how ‘ordinary’ topological Cech cohomology works, and then we’ll see why an appropriate analogue would be useful in proving the Weil conjectures. highmark ppo blue dental