58 citations · 227 across the 16 of their papers we have counts for
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math.AG2020
Gluing curves of genus 1 and 2 along their 2-torsion
Jeroen Hanselman, Sam Schiavone, Jeroen Sijsling
Let (resp. ) be a curve of genus 1 (resp. 2) over a base field whose characteristic does not equal 2. We give criteria for the existence of a curve over whose Ja…
math.AG2020
Decomposing Jacobians via Galois covers
Davide Lombardo, Elisa Lorenzo García, Christophe Ritzenthaler +1
Let be a (possibly ramified) cover between two algebraic curves of positive genus. We develop tools that may identify the Prym variety of , up to isogeny, a…
math.NT2020★ 2 cited
Cubic function fields with prescribed ramification
Valentijn Karemaker, Sophie Marques, Jeroen Sijsling
This article describes cubic function fields with prescribed ramification, where is a rational function field. We give general equations for such extensions, an explicit…