Compactifications of splitting models of pel-type shimura varieties

Kai Wen Lan

doi:10.1090/tran/7088

Compactifications of splitting models of pel-type shimura varieties

Kai Wen Lan

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

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 language	English (US)
Pages (from-to)	2463-2515
Number of pages	53
Journal	Transactions of the American Mathematical Society
Volume	370
Issue number	4
DOIs	https://doi.org/10.1090/tran/7088
State	Published - Apr 2018
Externally published	Yes

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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10.1090/tran/7088

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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.)",

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AB - 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.)

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KW - Integral models

KW - Local models and splitting models

KW - PEL-type Shimura varieties

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Compactifications of splitting models of pel-type shimura varieties

Abstract

Bibliographical note

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