collaborators

4 papers

math.NT2026

Torsion of elliptic curves with rational -invariant over quartic number fields

Lucas Hamada

Let be an elliptic curve, defined over a quartic extension of , with . In this paper, we classify the possible group structure of the torsi…

math.AG2026

On the category of modules over bands: relative schemes, hyperring schemes and proto-exactness

Lucas Hamada

Bands and idylls are algebraic structures introduced recently by M. Baker, N. Bowler, T. Jin, and O. Lorscheid in the context of matroid theory. Bands generalize hyperrings and pro…

math.AG2025

A Tate algebra version of the Jacobian Conjecture

Lucas Hamada, Kazuki Kato, Ryo Komiya

This paper investigates a Tate algebra version of the Jacobian conjecture, referred to as the Tate-Jacobian conjecture, for commutative rings equipped with an -adic topology…

math.NT2025

Torsion of elliptic curves with rational -invariant over the maximal elementary abelian 2-extension of

Lucas Hamada

In this paper, we classify the possible torsion subgroup structures of elliptic curves defined over the compositum of all quadratic extensions of the rational number field, whose $…