The Brauer group of Kummer surfaces and torsion of elliptic curves

By Alexei N. Skorobogatov, Yuri G. Zarhin. 2009

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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.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/cc1bd44dc06f57213670bbdc3dc856641b7c1468