Open Access
May 2015 A note on the Bloch-Tamagawa space and Selmer groups
Niranjan Ramachandran
Proc. Japan Acad. Ser. A Math. Sci. 91(5): 61-65 (May 2015). DOI: 10.3792/pjaa.91.61

Abstract

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 $A$.

Citation

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Niranjan Ramachandran. "A note on the Bloch-Tamagawa space and Selmer groups." Proc. Japan Acad. Ser. A Math. Sci. 91 (5) 61 - 65, May 2015. https://doi.org/10.3792/pjaa.91.61

Information

Published: May 2015
First available in Project Euclid: 30 April 2015

zbMATH: 1378.11072
MathSciNet: MR3342028
Digital Object Identifier: 10.3792/pjaa.91.61

Subjects:
Primary: 11G40 , 14H52 , 20G30 , 22E41

Keywords: abelian varieties , L-functions , Selmer groups , Tamagawa numbers

Rights: Copyright © 2015 The Japan Academy

Vol.91 • No. 5 • May 2015
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