Arithmetic inflection of superelliptic curves
Algebraic Geometry
2026-02-24 v2 Combinatorics
Number Theory
Abstract
In this paper, we explore the inflectionary behavior of linear series on superelliptic curves over fields of arbitrary characteristic. Here we give a precise description of the inflection of linear series over the ramification locus of the superelliptic projection; and we initiate a study of those inflectionary varieties that parameterize the inflection points of linear series on supported away from the superelliptic ramification locus that is predicated on the behavior of their Newton polytopes.
Keywords
Cite
@article{arxiv.2110.04813,
title = {Arithmetic inflection of superelliptic curves},
author = {Ethan Cotterill and Ignacio Darago and Cristhian Garay López and Changho Han and Tony Shaska},
journal= {arXiv preprint arXiv:2110.04813},
year = {2026}
}
Comments
34 pages, 6 figures; final version to appear in Michigan Math J