2 papers
math.AG2026
Double Artin-Schreier extensions of rational function fields with many lifted automorphisms
Herivelto Borges, Jonathan Niemann, Giovanni Zini
In this paper we investigate algebraic function fields in positive characteristic mainly obtained as double Artin-Schreier extensions of rational function fields with a plane model…
math.AG2024
Tate-Shafarevich results for quartic twists in characteristic
Herivelto Borges, João Paulo Guardieiro, CecÃlia 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…