COMPACTIFICATIONS OF PEL-TYPE SHIMURA VARIETIES IN RAMIFIED CHARACTERISTICS

Author:

LAN KAI-WEN

Abstract

We show that, by taking normalizations over certain auxiliary good reduction integral models, one obtains integral models of toroidal and minimal compactifications of PEL-type Shimura varieties which enjoy many features of the good reduction theory studied as in the earlier works of Faltings and Chai’s and the author’s. We treat all PEL-type cases uniformly, with no assumption on the level, ramifications, and residue characteristics involved.

Publisher

Cambridge University Press (CUP)

Subject

Computational Mathematics,Discrete Mathematics and Combinatorics,Geometry and Topology,Mathematical Physics,Statistics and Probability,Algebra and Number Theory,Theoretical Computer Science,Analysis

Reference62 articles.

1. Integral canonical models of Shimura varieties of preabelian type

2. Faisceaux amples sur les schémas en groupes et les espaces homogènes

3. The irreducibility of the space of curves of given genus

4. [37] J. S. Milne , The points on a Shimura variety modulo a prime of good reduction, in Langlands and Ramakrishnan [ 32 ], 151–253.

5. [50] M. Rapoport , ‘A guide to the reduction modulo $p$ of Shimura varieties’, in Tilouine et al. [ 58 ], 271–318.

Cited by 13 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Un cas PEL de la conjecture de Kottwitz;Annales de l'Institut Fourier;2023-10-26

2. ON THE GEOMETRY OF THE PAPPAS–RAPOPORT MODELS FOR PEL SHIMURA VARIETIES;Journal of the Institute of Mathematics of Jussieu;2022-02-18

3. Abelian surfaces over totally real fields are potentially modular;Publications mathématiques de l'IHÉS;2021-11-29

4. Higher coherent cohomology and p -adic modular forms of singular weights;Duke Mathematical Journal;2020-06-15

5. l-Adic étale cohomology of Shimura varieties of Hodge type with non-trivial coefficients;Mathematische Annalen;2019-03-09

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3