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 language | English (US) |
|---|---|
| Article number | e1 |
| Pages (from-to) | e1 |
| Number of pages | 98 |
| Journal | Forum of Mathematics, Sigma |
| Volume | 4 |
| DOIs | |
| State | Published - Jan 1 2016 |
Bibliographical note
Funding Information:The author was partially supported by the National Science Foundation under agreement No. DMS-1352216, and by an Alfred P. Sloan Research Fellowship. He would like to thank Keerthi Madapusi Pera, George Pappas, and Xinwen Zhu for very helpful discussions, and the anonymous referee for many thoughtful suggestions.
Publisher Copyright:
© The Author 2016.