Steven R. Groen

collaborators

3 papers

math.AG2025

Heuristics for (ir)reducibility of $p$ -rank strata of the moduli space of hyperelliptic curves

Thomas Bouchet, Erik Davis, Steven R. Groen +2

Let $H_{g}$ denote the moduli space of smooth hyperelliptic curves of genus $g$ in characteristic $p \geq 3$ , and let $H_{g}^{f}$ denote the $p$ -rank $f$ stratum of $\…

math.NT2025

The $p$ -rank stratification of the moduli space of double covers of a fixed elliptic curve

Kevin Chang, Dušan Dragutinović, Steven R. Groen +3

In this paper we investigate the $p$ -rank stratification of the moduli space of curves of genus $g$ that admit a double cover to a fixed elliptic curve $E$ in characteristic $p > 2$ .…

math.NT2023

$a$ -Numbers of Cyclic Degree $p^{2}$ Covers of the Projective Line

Huy Dang, Steven R. Groen

We investigate the $a$ -numbers of $Z / p^{2} Z$ -covers in characteristic $p > 2$ and extend a technique originally introduced by Farnell and Pries for $\mathbb{Z}/p\math…

Heuristics for (ir)reducibility of p-rank strata of the moduli space of hyperelliptic curves

The p-rank stratification of the moduli space of double covers of a fixed elliptic curve

a-Numbers of Cyclic Degree p2 Covers of the Projective Line

Heuristics for (ir)reducibility of $p$ -rank strata of the moduli space of hyperelliptic curves

The $p$ -rank stratification of the moduli space of double covers of a fixed elliptic curve

$a$ -Numbers of Cyclic Degree $p^{2}$ Covers of the Projective Line