Dwork conjecture
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 … 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 …
Dwork conjecture
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WebEnter the email address you signed up with and we'll email you a reset link. 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 …
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]. 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 …
WebDwork 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. 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
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 …
WebOct 22, 1987 · Volume 197, number 1,2 PHYSICS LETTERS B 22 October 1987 p-ADIC STRINGS, THE WEIL CONJECTURES AND ANOMALIES'' Bernard GROSSMAN Rockefeller University, New York, NY 10021, USA Received 22 May 1987 An analogy between the Veneziano amplitude and the p-adic interpolation of the beta-function is … ray ray meat and threeWebDwork’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 … simply cakes bakeryWebDWORK'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 … rayray misbehavier nowWeblast 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 … ray ray mindless behavior songsWebOct 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 ray raymond cpa bradley ilWebThis yields nonarithmetic counterexamples to a conjecture of Dwork (Conjecture 6.3). An arithmetic counterexample to Dwork’s conjecture has previously been found by Krammer ([18]). Krammer’s example is the uniformizing differential equation of a Shimura curve C = H/Γ. Krammer’s strategy in computing the uniformizing differential equation simply cakes dothan alWebThe 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 ... ray ray movie