关于N-Hilb的G/N-Hilb
代数几何
2015-01-14 v2 表示论
摘要
本文研究了迭代的G-等变希尔伯特概形G/N-Hilb(N-Hilb)，并证明了G/N-Hilb(N-Hilb(C^3))是C^3/G的一个互反消解，同构于在特定稳定性条件θ下McKay箭图的θ-稳定表示模空间。我们提供了几个显式例子来说明这一构造。我们还考虑了G/N-Hilb(N-Hilb)何时同构于G-Hilb的问题，表明这些空间在大多数情况下是不同的。
引用
@article{arxiv.1108.2310,
title = {On G/N-Hilb of N-Hilb},
author = {Akira Ishii and Yukari Ito and Álvaro Nolla de Celis},
journal= {arXiv preprint arXiv:1108.2310},
year = {2015}
}
备注
Final version. Explanations improved throughout the paper and mistakes in some statements have been corrected; (old) sections 2.2 and 3.1 have been expanded into new sections; (old) section 5 have been reorganised and several results in it have been extended. To appear in Kyoto Journal of Mathematics