Seminar series
Date
Thu, 04 Dec 2014
Time
16:00 - 17:00
Location
L5
Speaker
Alexei Skorobogatov
Organisation
Imperial College London

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.

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