We study in detail properties of Hilbert modular varieties of low dimension in positive characteristic~$p$; in particular, the local and global properties of certain stratifications. To carry out this investigation we develop some new tools in the theory of displays, intersection theory on a singular surface and Hecke correspondences at~$p$.
Hilbert modular varieties of low dimension / F. Andreatta, E.Z. Goren - In: Geometric aspects of Dwork's theory : a volume in memory of Bernard Dwork / [a cura di] A. Adolphson, F. Baldassarri, P. Berthelot, N.M. Katz, F. Loeser. - Berlin : de Gruyter, 2004. - ISBN 978-3-11-017478-6. - pp. 113-175 (( convegno Geometric aspects of Dwork's theory tenutosi a Bressanone nel 2001.
Hilbert modular varieties of low dimension
F. AndreattaPrimo
;
2004
Abstract
We study in detail properties of Hilbert modular varieties of low dimension in positive characteristic~$p$; in particular, the local and global properties of certain stratifications. To carry out this investigation we develop some new tools in the theory of displays, intersection theory on a singular surface and Hecke correspondences at~$p$.
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