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.


fichier dvi (utilisant les polices rsfs)/dvi-file (using rsfs fonts) (85kB)
fichier PostScript comprimé/compressed PostScript file (75kB)
Vous pouvez aussi téléchager les polices script rsfs sur ftp.dante.de/tex-archive/fonts/rsfs/.

Retour à mes publications.


Dernière modification: le 3 septembre 2003
Valid HTML 4.01!