2 citations · 3 across the 5 of their papers we have counts for
3 papers · 1 filter
Mumford-type Shimura curves contained in the Torelli locus
Thomas Bouchet, Jeroen Hanselman, Andreas Pieper +1
In this article we give explicit equations for two Shimura families of genus 4 curves whose Jacobians are abelian fourfolds of Mumford type. These are the first explicit examples o…
Equations of genus curves from their theta constants
Jeroen Hanselman, Andreas Pieper, Sam Schiavone
In this article we give explicit formulas for the equations of a generic genus curve in terms of its theta constants. The method uses the Prym construction and the beautiful cl…
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…