On the Torelli problem and Jacobian Nullwerte in genus three

Abstract

We give a closed formula for recovering a non-hyperelliptic genus three curve from its period matrix, and derive some identities between Jacobian Nullwerte in dimension three.

13 pages

Cited by in corpus (3)

• Computing Linear Matrix Representations of Helton-Vinnikov Curves
• Explicit computations of Serre's obstruction for genus 3 curves and application to optimal curves
• Optimal curves of genus 1,2 and 3