wovepaper · research, woven together

papers

Publications (5)

math.NT2011

The a-numbers of Jacobians of Suzuki curves

Holley Friedlander, Derek Garton, Beth Malmskog +2

For $m \in N$ , let $S_{m}$ be the Suzuki curve defined over $F_{2^{2 m + 1}}$ . It is well-known that $S_{m}$ is supersingular, but the p-torsion group scheme of its Ja…

math.NT2024

The distribution of $a$ -numbers of hyperelliptic curves in characteristic three

Derek Garton, Jeffrey Lin Thunder, Colin Weir

In this paper we present a new approach to counting the proportion of hyperelliptic curves of genus $g$ defined over a finite field $F_{q}$ with a given $a$ -number. In chara…

math.NT2013

The Ekedahl-Oort type of Jacobians of Hermitian curves

Rachel Pries, Colin Weir

The Ekedahl-Oort type is a combinatorial invariant of a principally polarized abelian variety $A$ defined over an algebraically closed field of characteristic $p > 0$ . It character…

math.NT2021

The boundary of the $p$ -rank $0$ stratum of the moduli space of cyclic covers of the projective line

Ekin Ozman, Rachel Pries, Colin Weir

We study the $p$ -rank stratification of the moduli space of cyclic degree $ℓ$ covers of the projective line in characteristic $p$ for distinct primes $p$ and $ℓ$ . The main re…

math.NT2018

The de Rham cohomology of the Suzuki curves

Beth Malmskog, Rachel Pries, Colin Weir

For a natural number $m$ , let $S_{m} / F_{2}$ be the $m$ th Suzuki curve. We study the mod $2$ DieudonnÃ© module of $S_{m}$ , which gives the equivalent informat…