Effective reconstruction of generic genus 4 curves from their theta hyperplanes
Algebraic Geometry
2015-10-27 v4
Abstract
Effective reconstruction formulas of a curve from its theta hyperplanes are known classically in genus 2 (where the theta hyperplanes are Weierstrass points), and 3 (where, for a generic curve, the theta hyperplanes are bitangents to a plane quartic). However, for higher genera, no formula or algorithm are known. In this paper we give an explicit (and simple) algorithm for computing a generic genus 4 curve from it's theta hyperplanes.
Keywords
Cite
@article{arxiv.1001.1237,
title = {Effective reconstruction of generic genus 4 curves from their theta hyperplanes},
author = {David Lehavi},
journal= {arXiv preprint arXiv:1001.1237},
year = {2015}
}
Comments
no content modification to previous version; presentation modification following referees comments