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On the Mumford-Tate conjecture for 1-motives
Mumford-Tate conjecture Number Theory Algebraic Geometry
2011/9/21
Abstract: We show that the statement analogous to the Mumford-Tate conjecture for abelian varieties holds for 1-motives on unipotent parts. This is done by comparing the unipotent part of the associat...
Finiteness of K3 surfaces and the Tate conjecture
K3 surfaces the Tate conjecture Algebraic Geometry Number Theory
2011/8/26
Abstract: Given a finite field k of characteristic at least 5, we show that the Tate conjecture holds for K3 surfaces defined over the algebraic closure of k if and only if there are only finitely man...