2 papers
math.AG2026
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…
math.AG2025
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…