Compactifications of PEL-type Shimura varieties in ramified characteristics

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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.

Original languageEnglish (US)
Article numbere1
Pages (from-to)e1
Number of pages98
JournalForum of Mathematics, Sigma
Volume4
DOIs
StatePublished - Jan 1 2016

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