拟对数簇理论导论
代数几何
2009-10-25 v8
摘要
本文是对 Ambro 提出的拟对数簇 (quasi-log varieties) 理论的入门介绍。我们阐述了对数典范对 (log canonical pairs) 的对数极小模型纲领 (log minimal model program) 的基本定理。更确切地说,我们在拟对数簇理论的框架下,给出了对数典范对的无基点定理 (base point free theorem) 的证明。
引用
@article{arxiv.0711.1203,
title = {Introduction to the theory of quasi-log varieties},
author = {Osamu Fujino},
journal= {arXiv preprint arXiv:0711.1203},
year = {2009}
}
备注
17 pages; comments welcome, v2: typos were corrected, v3: many errors were corrected, subsection 2.1 is new, v4: minor modifications, v5: typos were corrected, v6: title changed, a completely revised version, v7: minor modifications following referee's comments, v8: a typo was corrected