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math.AG2022
Local to global principles for homomorphisms of abelian schemes
Wojciech Gajda, Sebastian Petersen
Let and be abelian varieties defined over the function field of a smooth algebraic variety We establish criteria, in terms of restriction maps to subvarieties…
math.NT2022
Ramified covers of abelian varieties over torsion fields
Lior Bary-Soroker, Arno Fehm, Sebastian Petersen
We study rational points on ramified covers of abelian varieties over certain infinite Galois extensions of . In particular, we prove that every elliptic curve over…