Recovering plane curves from their bitangents
Algebraic Geometry
2007-05-23 v2
Abstract
We show that a general plane curve of degree at least 4 is uniquely determined by the full set of its bitangent lines. This problem has an elementary solution for degree at least 5, and the paper is almost entirely devoted to curves of degree 4, where we generalize the result to nodal quartics. In other words, we show that a general curve of genus 3 can be recovered from its 28 odd theta-characteristics.
Keywords
Cite
@article{arxiv.math/0008239,
title = {Recovering plane curves from their bitangents},
author = {Lucia Caporaso and Edoardo Sernesi},
journal= {arXiv preprint arXiv:math/0008239},
year = {2007}
}
Comments
Minor corrections. To appear in Journal of Algebraic Geometry