COMPACTIFICATIONS of PEL-TYPE SHIMURA VARIETIES in RAMIFIED CHARACTERISTICS

Citation data:

Forum of Mathematics, Sigma, ISSN: 2050-5094, Vol: 4, Issue: 1

Publication Year:
2016
Citations 5
Citation Indexes 5
DOI:
10.1017/fms.2015.31
Author(s):
Kai Wen Lan
Publisher(s):
Cambridge University Press (CUP)
Tags:
Mathematics
article description
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.