Automorphism groups of Shimura varieties
Documenta mathematica, Tome 11 (2006), pp. 25-56
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
Mots-clés : Shimura variety, reciprocity law
Mots-clés : Shimura variety, reciprocity law
@article{10_4171_dm_203,
author = {Haruzo Hida},
title = {Automorphism groups of {Shimura} varieties},
journal = {Documenta mathematica},
pages = {25--56},
year = {2006},
volume = {11},
doi = {10.4171/dm/203},
url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/203/}
}
Haruzo Hida. Automorphism groups of Shimura varieties. Documenta mathematica, Tome 11 (2006), pp. 25-56. doi: 10.4171/dm/203
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