Selmer Groups and Chow Groups of Self-products of Algebraic Varieties
نویسنده
چکیده
Let X be a proper flat scheme over the ring of integers of a global field. We show that the Tate conjecture and the finiteness of the Chow group of vertical cycles on self-products of X implies the vanishing of the dual Selmer group of certain twists of tensor powers of representations occurring in the étale cohomology of X.
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تاریخ انتشار 2003