Mentzelos Melistas

collaborators

2 papers

math.NT2024

Low rank specializations of elliptic surfaces

Mentzelos Melistas

Let $E / Q (T)$ be a non-isotrivial elliptic curve of rank $r$ . A theorem due to Silverman implies that the rank $r_{t}$ of the specialization $E_{t} / Q$ is at least $r$ …

math.NT2023

Torsion and twists of abelian varieties

Mentzelos Melistas

In this article, we investigate the possible torsion subgroups of twists of abelian varieties with good reduction. As an application, we prove a theorem concerning ramified primes…