A note on the Bloch-Tamagawa space and Selmer groups

Proceedings of the Japan Academy, Series A. Mathematical Sciences

article

Niranjan Ramachandran¹ 

[1] Department of Mathematics, University of Maryland, College Park

关键词: Abelian varieties;    L-functions;    Tamagawa numbers;    Selmer groups.;   

DOI  :  10.3792/pjaa.91.61

学科分类：数学（综合）

来源: Japan Academy

【 摘 要 】

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 $A$.

【 授权许可】

Unknown