Compactifications of splitting models of PEL-type Shimura varieties | Zendy

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Compactifications of splitting models of PEL-type Shimura varieties

Author(s) -

KaiWen Lan

Publication year - 2016

Publication title -

transactions of the american mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.798

H-Index - 100

eISSN - 1088-6850

pISSN - 0002-9947

DOI - 10.1090/tran/7088

Subject(s) - mathematics , type (biology) , pure mathematics , construct (python library) , toroid , algebra over a field , geology , physics , nuclear physics , computer science , plasma , programming language , paleontology

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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