SELMER GROUPS AND CHOW GROUPS OF SELF-PRODUCTS OF ALGEBRAIC VARIETIES
by
Tom Weston
BibTeX
@MISC{Weston_selmergroups,
author = {Tom Weston},
title = {SELMER GROUPS AND CHOW GROUPS OF SELF-PRODUCTS OF ALGEBRAIC VARIETIES},
year = {}
}
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Abstract
Abstract. 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. 1.
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