Sarah Arpin

activity

20192026

most citedAdventures in Supersingularland

18 citations · 45 across the 14 of their papers we have counts for

collaborators

Showing 2021Show all

2 papers · 1 filter

math.AG2021

The Scheme of Monogenic Generators I: Representability

Sarah Arpin, Sebastian Bozlee, Leo Herr +1

This is the first in a series of two papers that study monogenicity of number rings from a moduli-theoretic perspective. Given an extension of algebras $B / A$ , when is $B$ generated…

math.NT2021

On the arithmetic of a family of superelliptic curves

Sarah Arpin, Richard Griffon, Libby Taylor +1

Let $p$ be a prime, let $r$ and $q$ be powers of $p$ , and let $a$ and $b$ be relatively prime integers not divisible by $p$ . Let $C / F_{r} (t)$ be the superelliptic curve wit…