Mod $p$ points on Shimura varieties of abelian type
Author:
Mark Kisin
Journal:
J. Amer. Math. Soc. 30 (2017), 819-914
MSC (2010):
Primary 11G18; Secondary 11G10
DOI:
https://doi.org/10.1090/jams/867
Published electronically:
January 11, 2017
MathSciNet review:
3630089
Full-text PDF
Abstract | References | Similar Articles | Additional Information
Abstract: We show that the mod $p$ points on a Shimura variety of abelian type with hyperspecial level have the form predicted by the conjectures of Kottwitz and Langlands-Rapoport. Along the way we show that the isogeny class of a mod $p$ point contains the reduction of a special point.
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Additional Information
Mark Kisin
Affiliation:
Department of Mathematics, Harvard University, 1 Oxford Street, Cambridge, Massachusetts 02138
MR Author ID:
352758
Email:
kisin@math.harvard.edu
Keywords:
Shimura varieties,
Hodge cycles
Received by editor(s):
September 9, 2013
Received by editor(s) in revised form:
July 18, 2016
Published electronically:
January 11, 2017
Additional Notes:
The author was partially supported by NSF grant DMS-0017749000
Article copyright:
© Copyright 2017
American Mathematical Society