Contact formulas for rational plane curves via stable maps

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We use stable maps, and their stable lifts to the Semple bundle variety of second-order curvilinear data, to calculate certain characteristic numbers for rational plane curves. These characteristic numbers involve first-order (tangency) and second-order (inflectional) conditions. Although they may be virtual, they may be used as inputs in an enumeratively significant formula for the number of rational curves having a triple contact with a specified plane curve and passing through 3d-3 general points.
Final version, to appear in J. of Algebraic Geometry; 28 pages, 4 figures, 2 tables

Keywords

Algebraic Geometry, 14N10 (Primary) 14C17 14D22 (Secondary)

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/79134

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9909129
 http://arxiv.org/abs/math/9909129

Collections

arXiv