Douglas Ulmer

activity

20012026

most citedGeometric non-vanishing

15 citations · 57 across the 25 of their papers we have counts for

collaborators

29 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

Douglas Ulmer, José Felipe Voloch

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

math.NT2023

$p$ -torsion for unramified Artin--Schreier covers of curves

Bryden Cais, Douglas Ulmer

Let $Y \to X$ be an unramified Galois cover of curves over a perfect field $k$ of characteristic $p > 0$ with $Gal (Y / X) ≅ Z / p Z$ , and let $J_{X}$ and $J_{Y}$ b…

math.NT2021

Every $B T_{1}$ group scheme appears in a Jacobian

Rachel Pries, Douglas Ulmer

Let $p$ be a prime number and let $k$ be an algebraically closed field of characteristic $p$ . A $B T_{1}$ group scheme over $k$ is a finite commutative group scheme which arises as th…

math.NT2020★ 1 cited

On $B T_{1}$ group schemes and Fermat Jacobians

Rachel Pries, Douglas Ulmer

Let $p$ be a prime number and let $k$ be an algebraically closed field of characteristic $p$ . A $B T_{1}$ group scheme over $k$ is a finite commutative group scheme which arises as th…

math.AG2020

Bounding tangencies of sections on elliptic surfaces

Douglas Ulmer, Giancarlo Urzúa

Given an elliptic surface $E \to C$ over a field $k$ of characteristic zero equipped with zero section $O$ and another section $P$ of infinite order, we give a si…

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

New unlikely intersections on elliptic surfaces

p-torsion for unramified Artin--Schreier covers of curves

Every BT1​ group scheme appears in a Jacobian

On BT1​ group schemes and Fermat Jacobians

Bounding tangencies of sections on elliptic surfaces

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

$p$ -torsion for unramified Artin--Schreier covers of curves

Every $B T_{1}$ group scheme appears in a Jacobian

On $B T_{1}$ group schemes and Fermat Jacobians