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math.NT2022
On the -torsion of the Tate-Shafarevich group of abelian varieties over higher dimensional bases over finite fields
Timo Keller
We prove a finiteness theorem for the first flat cohomology group of finite flat group schemes over integral normal proper varieties over finite fields. As a consequence, we can pr…
math.NT2022
Rational points on hyperelliptic Atkin-Lehner quotients of modular curves and their coverings
Nikola Adžaga, Shiva Chidambaram, Timo Keller +1
We complete the computation of all -rational points on all the maximal Atkin-Lehner quotients such that the quotient is hyperelliptic. To achieve this,…