A 型曲面奇点的克雷潘特解消猜想
代数几何
2008-07-10 v3 数学物理
math.MP
摘要
设 X 为一个具有克雷潘特解消 Y 的轨形（orbifold）。Ruan 以及 Bryan-Graber 提出的克雷潘特解消猜想（Crepant Resolution Conjectures）大致断言：X 的量子上同调在经过某些参数的解析延拓，并将其中部分参数特化为单位根后，将与 Y 的量子上同调同构。我们证明了当 X 为 A 型曲面奇点时这些猜想成立。证明的关键在于环面轨形的镜像对称性。
引用
@article{arxiv.0704.2034,
title = {The Crepant Resolution Conjecture for Type A Surface Singularities},
author = {Tom Coates and Alessio Corti and Hiroshi Iritani and Hsian-Hua Tseng},
journal= {arXiv preprint arXiv:0704.2034},
year = {2008}
}
评论
19 pages. v2: references updated; corrected our description of the work of Davesh Maulik. v3: please note that this preprint has been superseded by arXiv:math/0702234v3. The material here, with various typos corrected, appears as Appendix A there