Publication: Mod $p$ points on Shimura varieties of abelian type
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Date
2017-01-11
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American Mathematical Society (AMS)
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Kisin, Mark. "Mod $p$ points on Shimura varieties of abelian type." J. Amer. Math. Soc. 30, no. 3 (2017): 819-914. DOI: 10.1090/jams/867
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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Applied Mathematics, General Mathematics
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