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.)References
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Additional Information
- Kai-Wen Lan
- Affiliation: Department of Mathematics, University of Minnesota, Minneapolis, Minnesota 55455
- MR Author ID: 941160
- Email: kwlan@math.umn.edu
- Received by editor(s): August 6, 2015
- Received by editor(s) in revised form: July 14, 2016
- Published electronically: November 16, 2017
- Additional Notes: The author was partially supported by the National Science Foundation under agreement No. DMS-1352216, and by an Alfred P. Sloan Research Fellowship
- © Copyright 2017 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 370 (2018), 2463-2515
- MSC (2010): Primary 11G18; Secondary 11G15, 14D06
- DOI: https://doi.org/10.1090/tran/7088
- MathSciNet review: 3748574