Virtual Fundamental Classes of Zero Loci
代数几何
2007-05-23 v2
摘要
Let V be a convex vector bundle over a smooth projective manifold X, and let Y be the subset of X which is the zero locus of a regular section of V. This mostly expository paper discusses a conjecture which relates the virtual fundamental classes of X and Y. Using an argument due to Gathmann, we prove a special case of the conjecture. The paper concludes with a discussion of how our conjecture relates to the mirror theorems in the literature.
引用
@article{arxiv.math/0006116,
title = {Virtual Fundamental Classes of Zero Loci},
author = {David A. Cox and Sheldon Katz and Yuan-Pin Lee},
journal= {arXiv preprint arXiv:math/0006116},
year = {2007}
}
备注
11 pages, Latex2e, using amsmath, amsfonts and amsthm packages. This revision includes minor revisions to the text and 4 new references