On the Hasse principle in twist families

Abstract: I will discuss joint work with Alex Bartel in which we study the frequency of failures of the Hasse principle in quadratic twist families of torsors under an abelian variety. The main technical ingredient is a result on the distribution of 2-Selmer groups in families of twists defined by Frobenian conditions.

number theory

Audience: researchers in the topic

London number theory seminar

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