Compactifications of splitting models of PEL-type Shimura varieties

Lan, Kai-Wen

doi:10.1090/tran/7088

Compactifications of splitting models of PEL-type Shimura varieties
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Trans. Amer. Math. Soc. 370 (2018), 2463-2515 Request permission

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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