Jessica Alessandrì

activity

20212026

collaborators

6 papers

math.NT2026

Integral Brauer--Manin Obstruction for Fermat Near Misses

Jessica Alessandrì, Jiazhi He

We study the integral Hasse principle for the affine surfaces given by $x^{4} + y^{4} - w^{2} = m^{2}$ , where $m > 1$ is odd and squarefree. We give a criterion to determine if there is an integra…

math.NT2026

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

Jessica Alessandrì, Nirvana Coppola

It is well known that the order of the torsion group of an abelian variety over a number field divides the greatest common divisor of the sizes of points on the reduction at each p…

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 $…

math.NT2023

Local-global divisibility on algebraic tori

Jessica Alessandrì, Rocco Chirivì, Laura Paladino

We give a complete answer to the local-global divisibility problem for algebraic tori. In particular, we prove that given an odd prime $p$ , if $T$ is an algebraic torus of dimensio…

math.NT2021

On 7-division fields of CM elliptic curves