Jessica Alessandrì

collaborators

3 papers

math.NT2026

Torsion points on $GL_{2}$ -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.NT2025

Fermat near misses and the integral Hilbert Property

Jessica Alessandrì, Daniel Loughran

We consider the Diophantine equation $x^{4} + y^{4} - w^{2} = n$ for $n \in Z$ , which is related to near misses for the quartic case of Fermat's Last Theorem. For certain $n$ we…

math.NT2025

On the Hasse principle for divisibility in elliptic curves

Jessica Alessandrì, Laura Paladino

Let $p$ be a prime number and $n$ a positive integer. Let $E$ be an elliptic curve defined over a number field $k$ . It is known that the local-global divisibility by $p$ holds in $…

Torsion points on GL2​-type abelian varieties

Fermat near misses and the integral Hilbert Property

On the Hasse principle for divisibility in elliptic curves

Torsion points on $GL_{2}$ -type abelian varieties