Compactifying the space of stable maps
代数几何
2007-05-23 v2
摘要
We define two equivalent notions of twisted stable map from a curve to a Deligne-Mumford stack with projective moduli space, and we prove that twisted stable maps of fixed degree form a complete Deligne-Mumford stack with projective moduli space.
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