A note on the Bloch-Tamagawa space and Selmer groups

Niranjan Ramachandran
2015 Proceedings of the Japan Academy. Series A Mathematical sciences  
For any abelian variety A 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 A.
doi:10.3792/pjaa.91.61 fatcat:6bfqp2armjc5xirt5kwt4d4doe