Abstract
This article studies a map from a global Galois cohomology group to a direct sum of quotients of local Galois cohomology groups. The kernel of such a global-to-local map is often called a Selmer group. The objective of this article is to study the cokernel of such a map. We do so in a very general context. In particular, we find various sets of assumptions which imply that a global-to-local map is surjective.
Citation
Ralph Greenberg. "Surjectivity of the global-to-local map defining a Selmer group." Kyoto J. Math. 50 (4) 853 - 888, Winter 2010. https://doi.org/10.1215/0023608X-2010-016
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