Cecília Salgado

collaborators

2 papers

math.AG2025

Rank jumps and Multisections of elliptic fibrations on K3 surfaces

Alice Garbagnati, Cecília Salgado

We consider the countably many families $L_{d}$ , $d \in N_{\geq 2}$ , of K3 surfaces admitting an elliptic fibration with positive Mordell--Weil rank. We prove that t…

math.AG2024

Tate-Shafarevich results for quartic twists in characteristic $2$

Herivelto Borges, João Paulo Guardieiro, Cecília Salgado +1

The aim of this paper is to present elliptic curves defined over function fields of even characteristic having arbitrarily large Mordell-Weil rank. More precisely, we study ellipti…

Rank jumps and Multisections of elliptic fibrations on K3 surfaces

Tate-Shafarevich results for quartic twists in characteristic 2

Tate-Shafarevich results for quartic twists in characteristic $2$