S. Nowell

collaborators

2 papers

math.NT2020

A user's guide to the local arithmetic of hyperelliptic curves

Alex J. Best, L. Alexander Betts, Matthew Bisatt +8

A new approach has been recently developed to study the arithmetic of hyperelliptic curves $y^{2} = f (x)$ over local fields of odd residue characteristic via combinatorial data associa…

math.NT2019

Models of Hyperelliptic Curves with Tame Potentially Semistable Reduction

Omri Faraggi, Sarah Nowell

Let $C$ be a hyperelliptic curve $y^{2} = f (x)$ over a discretely valued field $K$ . The $p$ -adic distances between the roots of $f (x)$ can be described by a completely combinatorial…