5 papers
Computing Invariants of Artin-Schreier Curves
Juanita Duque-Rosero, Elisa Lorenzo GarcÃa, Beth Malmskog +1
We present an algorithmic framework for computing generators for the ring of invariants of an Artin-Schreier curve. We give explicit invariants for almost all Artin-Schreier curves…
The integral Hasse principle for stacky curves associated to a family of generalized Fermat equations
Juanita Duque-Rosero, Christopher Keyes, Andrew Kobin +3
We characterize the integral Hasse principle for an infinite family of spherical stacky curves with genus that are defined using generalized Fermat equations, extend…
Local heights on hyperelliptic curves and quadratic Chabauty
L. Alexander Betts, Juanita Duque-Rosero, Sachi Hashimoto +1
Quadratic Chabauty is a -adic method for determining rational points on curves. Local heights are arithmetic invariants used in the quadratic Chabauty method. We present an algo…
On invariants of Artin-Schreier curves
Juanita Duque-Rosero, Heidi Goodson, Elisa Lorenzo GarcÃa +2
The main goal of this article is to expand the theory of invariants of Artin-Schreier curves by giving a complete classification in genus 3 and 4. To achieve this goal, we first es…
The classifying element for quotients of Fermat curves
Juanita Duque-Rosero, Rachel Pries
Suppose is a cyclic Galois cover of the projective line branched at the three points , , and . Under a mild condition on the ramification, we determine the struct…