Hasse principle for Kummer varieties (joint work with Yonatan Harpaz)

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• Alexei Skorobogatov (Imperial College)
• Tuesday 20 January 2015, 16:15-17:15
• MR13.

If you have a question about this talk, please contact Jack Thorne.

Abstract: Rational points on Kummer varieties can be studied through the variation of Selmer groups of quadratic twists of the underlying abelian variety, using an idea of Swinnerton-Dyer. We consider the case when the Galois action on 2-torsion has a large image. Under a mild additional assumption we prove the Hasse principle assuming the finiteness of relevant Shafarevich-Tate groups. This approach is inspired by the work of Mazur and Rubin.

This talk is part of the Number Theory Seminar series.

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