A note on the Bloch-Tamagawa space and Selmer groups

preprint2015arXivOpen access

Abstract

For any abelian variety AA over a number field, we construct an extension of the Tate-Shafarevich group by the Bloch-Tamagawa space using the recent work of Lichtenbaum and Flach. This gives a new example of a Zagier sequence for the Selmer group of AA.

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