3 citations · 3 across the 6 of their papers we have counts for
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Computing Invariants of Artin-Schreier Curves
Juanita Duque-Rosero, Elisa Lorenzo García, 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…
On invariants of Artin-Schreier curves
Juanita Duque-Rosero, Heidi Goodson, Elisa Lorenzo García +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…
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…
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…
Geometric quadratic Chabauty and -adic heights
Juanita Duque-Rosero, Sachi Hashimoto, Pim Spelier
Let be a curve of genus over whose Jacobian has Mordell--Weil rank and Néron--Severi rank . When , the geometric quadratic Chabauty m…