GOOD AND SEMI-STABLE REDUCTIONS OF SHIMURA VARIETIES

被引：18

作者：

He, Xuhua ^{[1
,2
,3
]}

Pappas, Georgios ^{[4
]}

Rapoport, Michael ^{[1
,5
]}

机构：

[1] Univ Maryland, Dept Math, College Pk, MD 20742 USA

[2] Chinese Univ Hong Kong, Inst Math Sci, Shatin, Hong Kong, Peoples R China

[3] Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R China

[4] Michigan State Univ, Dept Math, E Lansing, MI 48824 USA

[5] Univ Bonn, Math Inst, Endenicher Allee 60, D-53115 Bonn, Germany

来源：

JOURNAL DE L ECOLE POLYTECHNIQUE-MATHEMATIQUES | 2020年 / 7卷

关键词：

Shimura varieties; local models; Rapoport-Zink spaces; Schubert varieties; LOCAL MODELS; FLATNESS; SCHEMES;

D O I：

10.5802/jep.123

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study variants of the local models constructed by the second author and Zhu and consider corresponding integral models of Shimura varieties of abelian type. We determine all cases of good, resp. of semi-stable, reduction under tame ramification hypotheses.

引用

页码：497 / 571

页数：75

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