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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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.
© 2017 American Mathematical Society.
- Degenerations and compactifications
- Integral models
- Local models and splitting models
- PEL-type Shimura varieties