到商栈的扭曲稳定映射空间的整体商结构
代数几何
2011-11-10 v2
摘要
设 X 为形式如 [M/G] 的驯顺真 Deligne-Mumford 栈,其中 M 为概型,G 为代数群。我们证明扭曲稳定映射栈 K_{g,n}(X,d) 是一个商栈,且可嵌入到一个光滑 Deligne-Mumford 栈中。当 G 为有限群时,我们利用 Hilbert 概型与容许 G-覆盖给出了 K_{g,n}(X,d) 更精确的构造。
引用
@article{arxiv.math/0502253,
title = {On The Global Quotient Structure of The Space of Twisted Stable Maps to a Quotient Stack},
author = {Dan Abramovich and Tom Graber and Martin Olsson and Hsian-Hua Tseng},
journal= {arXiv preprint arXiv:math/0502253},
year = {2011}
}
备注
Mistakes and ambiguities corrected, to appear in Journal of Algebraic Geometry