Automorphism Groups of Shimura Varieties

In this paper, we determine the scheme automorphism group of the reduction modulo $p$ of the integral model of the connected Shimura variety (of prime-to-$p$ level) for reductive groups of type $A$ and $C$. The result is very close to the characteristic $0$ version studied by Shimura, Deligne and Milne-Shih.

2000 Mathematics Subject Classification: 11G15, 11G18, 11G25

Keywords and Phrases: Shimura variety, reciprocity law

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