A generalization of the Cassels-Tate dual exact sequence

DOI10.4310/MRL.2007.v14.n2.a11zbMath1142.11045arXivmath/0608587OpenAlexW2063716224MaRDI QIDQ2459317

Cristian D. González-Avilés, Ki-Seng Tan

Publication date: 6 November 2007

Published in: Mathematical Research Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0608587

zbMATH Keywords

abelian varietiesShafarevich-Tate groupCassels-Tate exact sequence

Mathematics Subject Classification ID

Varieties over global fields (11G35) Global ground fields in algebraic geometry (14G25)

Related Items (13)

The Brauer-Manin obstruction for constant curves over global function fields ⋮ Euler characteristic and Akashi series for Selmer groups over global function fields ⋮ COMPARING THE BRAUER GROUP TO THE TATE–SHAFAREVICH GROUP ⋮ HASSE PRINCIPLES FOR ÉTALE MOTIVIC COHOMOLOGY ⋮ Brauer groups and Néron class groups ⋮ There are genus one curves of every index over every infinite, finitely generated field ⋮ The Brauer-Manin obstruction for subvarieties of abelian varieties over function fields ⋮ Parity conjectures for elliptic curves over global fields of positive characteristic ⋮ Selmer groups over \(\mathbb Z_p^d\)-extensions ⋮ On the \(\mu\)-invariants of abelian varieties over function fields of positive characteristic ⋮ Characteristic ideals and Selmer groups ⋮ TATE’S CONJECTURE AND THE TATE–SHAFAREVICH GROUP OVER GLOBAL FUNCTION FIELDS ⋮ An example of non-cotorsion Selmer group

This page was built for publication: A generalization of the Cassels-Tate dual exact sequence