A relation between the Brauer group and the Tate-Shafarevich group

DOI10.7169/facm/2012.47.2.3zbMath1302.11039OpenAlexW2045952456MaRDI QIDQ1944650

Chuangxun Cheng

Publication date: 26 March 2013

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.facm/1356012912

zbMATH Keywords

Tate-Shafarevich groupBrauer group

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Varieties over global fields (11G35)

Cites Work

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• Duality theorems for curves over p-adic fields
• There are genus one curves of every index over every number field
• The Period-Index Problem for Elliptic Curves