紧化稳定映射空间
代数几何
2007-05-23 v2
摘要
我们定义了从曲线到具有射影模空间的 Deligne-Mumford 栈的扭曲稳定映射的两个等价概念，并证明了固定次数的扭曲稳定映射构成一个具有射影模空间的完全 Deligne-Mumford 栈。
引用
@article{arxiv.math/9908167,
title = {Compactifying the space of stable maps},
author = {Dan Abramovich and Angelo Vistoli},
journal= {arXiv preprint arXiv:math/9908167},
year = {2007}
}
备注
34 pages; Latex 2e. The following devices were used to reduce the authors' publication count: 1. new section on canonical contractions and functoriality added, and 2. introduction expanded based on our research announcement math.AG/9811059