MOD p POINTS ON SHIMURA VARIETIES OF ABELIAN TYPE

MOD p POINTS ON SHIMURA VARIETIES OF ABELIAN TYPE

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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Veröffentlicht in:Journal of the American Mathematical Society 2017-07, Vol.30 (3), p.819-914
1. Verfasser: KISIN, MARK
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:0894-0347
1088-6834