Bend, break and count II : elliptics, cuspidals, linear genera
alg-geom
2008-02-03 v1 Algebraic Geometry
Abstract
Extending the method of Part I (alg-geom/9704004), we give recursive formulae for: the genus-1 Severi degree (formula first found by Getzler), the degree of the variety of 1-cuspidal curves of genus 0 or 1, and the linear (sectional) geometric genus of the genus-0 and genus-1 Severi varieties. The proof is short and elementary.
Cite
@article{arxiv.alg-geom/9708013,
title = {Bend, break and count II : elliptics, cuspidals, linear genera},
author = {Ziv Ran},
journal= {arXiv preprint arXiv:alg-geom/9708013},
year = {2008}
}