Models of Shimura varieties in mixed characteristic
Journal of Algebraic Geometry 5 (1996), p. 187-207.
Summary/Résumé
In the study of integral models of Shimura varieties, results are largely
limited to Shimura varieties of PEL-type.
These are Shimura varieties serving as moduli spaces of abelian varieties
endowed with a polarization, a given ring acting as endomorphisms and a level
structure.
An example of Mumford shows that not all Shimura
varieties constructed from subgroups of the symplectic group are obtained
in this way.
It can however be shown that, over C,
all such Shimura varieties parametrize
polarized abelian varieties with level structure and given spaces of
Hodge classes.
In this paper, we use this fact to study models in mixed
characteristic of these Shimura varieties.
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Dernière modification: le 3 septembre 2003
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