到 Deligne-Faltings 对的稳定对数映射 I
代数几何
2011-02-24 v4
摘要
我们引入了相对稳定映射空间的一个新紧化。这个新方法使用了 Kato-Fontaine-Illusie 意义上的对数几何，而非扩展退化。我们的对数稳定映射的底层结构在通常意义下是稳定的。
引用
@article{arxiv.1008.3090,
title = {Stable logarithmic maps to Deligne-Faltings pairs I},
author = {Qile Chen},
journal= {arXiv preprint arXiv:1008.3090},
year = {2011}
}
备注
We changed the terminology "log stable maps" to "stable log maps". A gap in the proof of compatibility with formal completions pointed out by Professor Bernd Siebert has been fixed, see Section 2.7. Few minor changes in Lemma 3.3.8 and the proof of Lemma 6.5.1 are made