Functiones et Approximatio Commentarii Mathematici

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

Chuangxun Cheng

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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.

Article information

Source
Funct. Approx. Comment. Math., Volume 47, Number 2 (2012), 149-156.

Dates
First available in Project Euclid: 20 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.facm/1356012912

Digital Object Identifier
doi:10.7169/facm/2012.47.2.3

Mathematical Reviews number (MathSciNet)
MR3051445

Zentralblatt MATH identifier
1302.11039

Subjects
Primary: 11G05: Elliptic curves over global fields [See also 14H52]
Secondary: 11G35: Varieties over global fields [See also 14G25]

Keywords
Brauer group Tate-Shafarevich group

Citation

Cheng, Chuangxun. A relation between the Brauer group and the Tate-Shafarevich group. Funct. Approx. Comment. Math. 47 (2012), no. 2, 149--156. doi:10.7169/facm/2012.47.2.3. https://projecteuclid.org/euclid.facm/1356012912


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References

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