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
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2017 American Mathematical Society.

Keywords

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

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