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arXiv:0911.2261 [math.AG]AbstractReferencesReviewsResources

The Brauer group of Kummer surfaces and torsion of elliptic curves

Alexei N. Skorobogatov, Yuri G. Zarhin

Published 2009-11-11, updated 2010-11-08Version 2

We relate the Brauer group of a Kummer surface to the Brauer group of the corresponding abelian surface. For many pairs of elliptic curves over the rational numbers we prove that the Kummer surface attached to their product has trivial Brauer group.

Comments: 27 pages. Revised version with a mistake corrected
Categories: math.AG, math.NT
Subjects: 14J28, 14F22, 11G05
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