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math.NT2023
Homological stability for generalized Hurwitz spaces and Selmer groups in quadratic twist families over function fields
Jordan S. Ellenberg, Aaron Landesman
We prove a version of the Bhargava-Kane-Lenstra-Poonen-Rains heuristics for Selmer groups of quadratic twist families of abelian varieties over global function fields. As a consequ…
math.NT2018
An explicit Abelian surface with maximal Galois action
Quinn Greicius, Aaron Landesman
We construct an explicit example of a genus curve over a number field such that the adelic Galois representation arising from the action of $\operatorname{Gal}(\overlin…