Steven R. Groen

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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…

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

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