COMPACTIFICATIONS OF PEL-TYPE SHIMURA VARIETIES IN RAMIFIED CHARACTERISTICS

被引：14
|
作者：
Lan, Kai-Wen [1 ]
机构：
[1] Univ Minnesota, Minneapolis, MN 55455 USA
来源：
FORUM OF MATHEMATICS SIGMA | 2016年 / 4卷
基金：
美国国家科学基金会;
关键词：
LOCAL MODELS; TOROIDAL COMPACTIFICATIONS;
D O I：
10.1017/fms.2015.31
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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