Automorphism groups of Shimura varieties
Documenta mathematica, Tome 11 (2006), pp. 25-56.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Classification : 11G15, 11G18, 11G25
Keywords: Shimura variety, reciprocity law
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     author = {Hida, Haruzo},
     title = {Automorphism groups of {Shimura} varieties},
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Hida, Haruzo. Automorphism groups of Shimura varieties. Documenta mathematica, Tome 11 (2006), pp. 25-56. http://geodesic.mathdoc.fr/item/DOCMA_2006__11__a16/