Open Access
December 2012 A relation between the Brauer group and the Tate-Shafarevich group
Chuangxun Cheng
Funct. Approx. Comment. Math. 47(2): 149-156 (December 2012). DOI: 10.7169/facm/2012.47.2.2

Abstract

In this paper, we prove a relation between the Brauer group and the Tate-Shafarevich group for genus one curves over number fields. This is a generalization of a result of Milne in genus one curves case.

Citation

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Chuangxun Cheng. "A relation between the Brauer group and the Tate-Shafarevich group." Funct. Approx. Comment. Math. 47 (2) 149 - 156, December 2012. https://doi.org/10.7169/facm/2012.47.2.2

Information

Published: December 2012
First available in Project Euclid: 20 December 2012

zbMATH: 1302.11039
MathSciNet: MR3051445
Digital Object Identifier: 10.7169/facm/2012.47.2.2

Subjects:
Primary: 11G05
Secondary: 11G35

Keywords: Brauer group , Tate-Shafarevich group

Rights: Copyright © 2012 Adam Mickiewicz University

Vol.47 • No. 2 • December 2012
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