加权射影空间与量子变形的析解
代数几何
2007-09-29 v2
摘要
我们比较加权射影空间 与 的 Chen-Ruan 上同调环与其析解的上同调环。在两种情形中,我们证明 Chen-Ruan 上同调环在量子参数的适当赋值后同构于析解的量子修正上同调环。为此,我们证明横截 奇点之析解的 Gromov-Witten 不变量公式。
引用
@article{arxiv.math/0610617,
title = {Crepant resolutions of weighted projective spaces and quantum deformations},
author = {Samuel Boissiere and Etienne Mann and Fabio Perroni},
journal= {arXiv preprint arXiv:math/0610617},
year = {2007}
}
备注
Exposition improved, new title, typos corrected. The section concerning the model for the orbifold Chow ring has been removed (appears now in our new preprint 0709.4559)