Crepant 分解猜想
代数几何
2007-05-23 v2
摘要
对于容许 crepant 分解并满足硬 Lefschetz 条件的 orbifold,我们提出其 orbifold 与分解的 Gromov-Witten 理论之间一个猜想的等价性。我们证明了复平面的第 n 个对称积与平面的 n 点 Hilbert 概形的等变 Gromov-Witten 理论下的该猜想。
引用
@article{arxiv.math/0610129,
title = {The Crepant Resolution Conjecture},
author = {Jim Bryan and Tom Graber},
journal= {arXiv preprint arXiv:math/0610129},
year = {2007}
}
备注
The relationship between our conjecture and Ruan's original conjecture is clarified. We have also added the Hard Lefschetz hypothesis for our orbifolds, a condition whose necessity was made clear by the very nice recent paper of Coates, Corti, Iritani, and Tseng (math.AG/0611550)