3 citations · 3 across the 6 of their papers we have counts for
8 papers
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…
A database of basic numerical invariants of Hilbert modular surfaces
Eran Assaf, Angelica Babei, Ben Breen +8
We describe algorithms for computing geometric invariants for Hilbert modular surfaces, and we report on their implementation.
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…
Triangular modular curves of low genus
Juanita Duque-Rosero, John Voight
Triangular modular curves are a generalization of modular curves that arise from quotients of the upper half-plane by congruence subgroups of hyperbolic triangle groups. These curv…