Contents Online
Mathematical Research Letters
Volume 16 (2009)
Number 5
The generalized Cassels-Tate dual exact sequence for 1-motives
Pages: 827 – 839
DOI: https://dx.doi.org/10.4310/MRL.2009.v16.n5.a6
Authors
Abstract
We establish a generalized Cassels-Tate dual exact sequence for 1-motives over global fields. We thereby extend the main theorem of [4] from abelian varieties to arbitrary 1-motives.
Keywords
1-motives, Cassels-Tate dual exact sequence, Tate-Shafarevich groups, Selmer groups
2010 Mathematics Subject Classification
Primary 11G35. Secondary 14G25.
Published 1 January 2009