Using stacks to impose tangency conditions on curves
代数几何
2007-06-13 v4
摘要
We define a Deligne-Mumford stack X_{D,r} which depends on a scheme X, an effective Cartier divisor D\subset X, and a positive integer r. Then we show that the Abramovich-Vistoli moduli stack of stable maps into X_{D,r} provides compactifications of the locally closed substacks of \bar{M}_{g,n}(X,\beta) corresponding to relative stable maps.
引用
@article{arxiv.math/0312349,
title = {Using stacks to impose tangency conditions on curves},
author = {Charles Cadman},
journal= {arXiv preprint arXiv:math/0312349},
year = {2007}
}
备注
This paper has been withdrawn. It was accepted by the American Journal of Mathematics in revised form and can be downloaded from the author's webpage