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- Title
Stratifications in the reduction of Shimura varieties.
- Authors
He, X.; Rapoport, M.
- Abstract
In the paper four stratifications in the reduction modulo p of a general Shimura variety are studied: the Newton stratification, the Kottwitz-Rapoport stratification, the Ekedahl-Oort stratification and the Ekedahl-Kottwitz-Oort-Rapoport stratification. We formulate a system of axioms and show that these imply non-emptiness statements and closure relation statements concerning these various stratifications. These axioms are satisfied in the Siegel case.
- Publication
Manuscripta Mathematica, 2017, Vol 152, Issue 3/4, p317
- ISSN
0025-2611
- Publication type
Article
- DOI
10.1007/s00229-016-0863-x