Reconstruction of curves from their theta hyperplanes in genera $6$ and $7$
Algebraic Geometry
2025-05-13 v4
Abstract
We derive a formula for reconstructing a generic complex canonical curve of genus 6 and 7 in terms of the theta hyperplanes of . Hence, we get a generic inverse to the Torelli map, as well as a complete description of the Schottky locus in these genera. The computational part of the proof relies on a certified numerical argument.
Cite
@article{arxiv.2401.02235,
title = {Reconstruction of curves from their theta hyperplanes in genera $6$ and $7$},
author = {Türkü Özlüm Çelik and David Lehavi},
journal= {arXiv preprint arXiv:2401.02235},
year = {2025}
}
Comments
Certified proof. Contains code and data in the anc directory