Eigenvalues of Frobenius and Hodge Numbers
نویسندگان
چکیده
We study the connection between Hodge purity of the cohomology of algebraic varieties over fields of different characteristics. Specifically, we study varieties over number fields, whose cohomology in some fixed degree 2i consists entirely of Hodge classes, that is, whose Hodge cohomology in degree 2i is entirely of type (i, i). Among other things, we give sufficient conditions for varieties over number fields to satisfy this property in terms of their rational points over finite fields.
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تاریخ انتشار 2006