6. The p-adic uniformization of Shimura varietiesMichael RapoportThomas Zink
Vol. 98, No. 2 DUKE MATHEMATICAL JOURNAL © 1999 p-ADIC PERIODS, p-ADIC L-FUNCTIONS, AND THE p-ADIC UNIFORMIZATION OF SHIMURA CURVES 来自 core.ac.uk 喜欢 0 阅读量: 20 作者:M Bertolini,H Darmon 被引量: 4 年份: 2011 收藏 引用 批量引用 报错 分享 ...
This article gives a new proof of the Gross–Kohnen–Zagier theorem for Shimura curves which exploits the p -adic uniformization of Cerednik–Drinfeld. The explicit description of CM points via this uniformization leads to an expression relating the Gross–Kohnen–Zagier generating series to the ...
Foundations of p-adic Teichmuller theory Lays The Foundation For A Theory Of Uniformization Of $p$-adic Hyperbolic Curves And Their Moduli. This Book Intends To Bridge The Gap Between The Approach Presented And Classical Uniformization Of A Hyperbolic Riemann Surface That Is St... Mochizuki,Shinich...
We use properties of the Harish-Chandra homomorphism of Knop for inv... P Delorme 被引量: 0发表: 2020年 On p-adic uniformization of abelian varieties with good reduction Let $p$ be a rational prime, let $F$ denote a finite, unramified extension of ${{\\mathbb {Q}}}_p$, let $K...
Using the concept of rigid-analytic period maps, the relation of p-adic period domains to moduli space of p-divisible groups is investigated. In addition, non-archimedean uniformization theorems for general Shimura varieties are established. The exposition includes background material on Grot... (...
Uniformization of $p$-adic curves via Higgs-de Rham flowsGuitang LanMao ShengYanhong YangKang Zuo
Zuo, Rank-2 systems of Hodge bundles and crystalline representations of π1 of p-adic curves. arXiv:1404.0538, 2014.G.-T. Lan, M. Sheng, Y.-H. Yang, K. Zuo, Uniformization of p-adic curves via Higgs-de Rham flows, J. reine angew. Math., ISSN (Online) 1435-5345, ISSN (Print...
We prove that for any rank two graded Higgs bundle with maximal Higgs field over a generic hyperbolic curve X 1 {X_{1}} defined over k, there exists a lifting X of the curve to the ring W ? ( k ) {W(k)} of Witt vectors as well as a lifting of the Higgs bundle to a ...
Zink, Period spaces for p-divisible groups, Princeton University Press, no. 141, Annals of Mathematics Studies, Princeton, New Jersey, 1996.M. Rapoport and T.Zink, Period Spaces for p-divisible groups Ann. Math. Studies. 141, Princeton University Press, 1996....