Counting Bitangents with Stable Maps
Algebraic Geometry
2007-05-23 v2 General Mathematics
Abstract
This paper is an elementary introduction to the theory of moduli spaces of curves and maps. As an application to enumerative geometry, we show how to count the number of bitangent lines to a projective plane curve of degree by doing intersection theory on moduli spaces.
Cite
@article{arxiv.math/0505139,
title = {Counting Bitangents with Stable Maps},
author = {David Ayala and Renzo Cavalieri},
journal= {arXiv preprint arXiv:math/0505139},
year = {2007}
}
Comments
expository- soft introduction to working with moduli. Many pictures. To appear on Expositiones Mathematicae