Douglas Ulmer

collaborators

2 papers

math.NT2026

Minimal $a$ -numbers of Artin--Schreier covers of ordinary curves

Bryden Cais, Douglas Ulmer

Let $k$ be a perfect field of characteristic $p > 0$ , and let $d$ be a positive integer not divisible by $p$ . We define a non-empty Zariski open subset $U$ of the space of polynomial…

math.AG2025

New unlikely intersections on elliptic surfaces

Consider a Jacobian elliptic surface $E \to C$ with a section $P$ of infinite order. Previous work of the first author and UrzÃºa over the complex numbers gives a bound on the numb…

Minimal a-numbers of Artin--Schreier covers of ordinary curves

New unlikely intersections on elliptic surfaces

Minimal $a$ -numbers of Artin--Schreier covers of ordinary curves