Contact formulas for rational plane curves via stable maps
代数几何
2007-05-23 v2
摘要
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.
引用
@article{arxiv.math/9909129,
title = {Contact formulas for rational plane curves via stable maps},
author = {Susan Jane Colley and Lars Ernstrom and Gary Kennedy},
journal= {arXiv preprint arXiv:math/9909129},
year = {2007}
}
备注
Final version, to appear in J. of Algebraic Geometry; 28 pages, 4 figures, 2 tables