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math.NT2026
Torsion points on -type abelian varieties
Jessica Alessandrì, Nirvana Coppola
It is well known that the rational torsion of an abelian variety defined over a number field injects into the reduction modulo any sufficiently large prime, so the order of the tor…
math.NT2026
On the local-global principle for twists of abelian varieties and Galois representations
Nirvana Coppola, Lorenzo La Porta, Matteo Longo
This paper investigates the validity of a local-global principle for finite twists of a large class of objects endowed with a continuous action of the absolute Galois group of a gi…