1. Arithmetic inflection of superelliptic curves
- Author
-
Cotterill, Ethan, Darago, Ignacio, López, Cristhian Garay, Han, Changho, and Shaska, Tony
- Subjects
Mathematics - Algebraic Geometry ,Mathematics - Combinatorics ,Mathematics - Number Theory ,14Hxx, 14Mxx, 11Gxx, 05Exx - Abstract
In this paper, we explore the inflectionary behavior of linear series on superelliptic curves $X$ 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 $X$ supported away from the superelliptic ramification locus that is predicated on the behavior of their Newton polytopes., Comment: 34 pages, 6 figures
- Published
- 2021