Equations of genus $4$ curves from their theta constants
Algebraic Geometry
2024-07-09 v3 Number Theory
Abstract
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 classical geometry around it.
Cite
@article{arxiv.2402.03160,
title = {Equations of genus $4$ curves from their theta constants},
author = {Jeroen Hanselman and Andreas Pieper and Sam Schiavone},
journal= {arXiv preprint arXiv:2402.03160},
year = {2024}
}