The Brauer group of Kummer surfaces and torsion of elliptic curves

Details The Brauer group of Kummer surfaces and torsion of elliptic curves The Brauer group of Kummer surfaces and torsion of elliptic curves

2009-11-11

arxiv.org/abs/0911.2261v2

Mathematics

Algebraic Geometry

27 pages. Revised version with a mistake corrected

Scientific paper

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.

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