Compactifications of splitting models of pel-type shimura varieties

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Abstract

We construct toroidal and minimal compactifications, with expected properties concerning stratifications and formal local structures, for all integral models of PEL-type Shimura varieties defined by taking normalizations over the splitting models considered by Pappas and Rapoport. (These include, in particular, all the normal flat splitting models they considered.)

Original languageEnglish (US)
Pages (from-to)2463-2515
Number of pages53
JournalTransactions of the American Mathematical Society
Volume370
Issue number4
DOIs
StatePublished - Apr 2018

Bibliographical note

Funding Information:
Received by the editors August 6, 2015, and, in revised form, July 14, 2016. 2010 Mathematics Subject Classification. Primary 11G18; Secondary 11G15, 14D06. Key words and phrases. PEL-type Shimura varieties, degenerations and compactifications, integral models, local models and splitting models. The author was partially supported by the National Science Foundation under agreement No. DMS-1352216, and by an Alfred P. Sloan Research Fellowship.

Keywords

  • Degenerations and compactifications
  • Integral models
  • Local models and splitting models
  • PEL-type Shimura varieties

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