3 papers
math.AC2026
The relation type of point configurations in the projective plane
Ethan Cotterill, Amir Mohammad Kach khaali, Abbas Nasrollah Nejad
We study the {\it relation type} of ideals of finite reduced sets of points in the projective plane; for a given ideal, this is the maximal -degree of a minimal generator of the…
math.AG2025
On gap sets in arbitrary Kummer extensions of
Ethan Cotterill, Erik A. R. Mendoza, Pietro Speziali
Let be an algebraically closed field, and let be a Kummer extension of function fields of genus . We provide a compact and explicit description of the gap set $G(Q)…
math.AG2024
Arithmetic inflection of superelliptic curves
Ethan Cotterill, Ignacio Darago, Cristhian Garay López +2
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…