On the connection between Brauer group and Tate-Shafarewich group

DOI10.1016/0021-8693(81)90248-9zbMath0478.14014OpenAlexW2004996946MaRDI QIDQ1160669

Ulrich Stuhler

Publication date: 1981

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(81)90248-9

zbMATH Keywords

Tate-Shafarevich groupBrauer groupBirch-Swinnerton-Dyer conjectureArtin-Tate conjecturedeformation of Azumaya algebras

Mathematics Subject Classification ID

Rational points (14G05) Jacobians, Prym varieties (14H40) Brauer groups of schemes (14F22) Global ground fields in algebraic geometry (14G25) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05)

Cites Work

• Théorie de la descente et algèbres d'Azumaya
• The Brauer Group of a Commutative Ring
• Maximal Orders
• On Maximally Central Algebras
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the connection between Brauer group and Tate-Shafarewich group