On Tate-Shafarevich groups over Galois extensions

DOI10.1007/BF02772219zbMath1071.11033MaRDI QIDQ1885656

Hoseog Yu

Publication date: 11 November 2004

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Abelian varietiesShafarevich-Tate groups

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Arithmetic ground fields for abelian varieties (14K15)

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Cites Work

• Transfer in Galois cohomology commutes with transfer in the Milnor ring
• Relations between \(K_2\) and Galois cohomology
• The Cassels-Tate pairing on polarized Abelian varieties
• The corestriction of algebraic structures
• On Tate-Shafarevich groups of abelian varieties
• Arithmetic on curves of genus 1. VII. The dual exact sequence.
• Arithmetic on curves of genus 1. VIII. On conjectures of Birch and Swinnerton-Dyer.
• Cohomology of Group Extensions
• On the arithmetic of abelian varieties
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