关于对数Kodaira维数的次可加性
代数几何
2016-02-09 v8
摘要
通过建立Nakayama数值Kodaira维数的Iitaka型不等式，我们将对数Kodaira维数的Iitaka次可加性猜想归结为广义丰沛猜想的一个特例。我们的证明严重依赖于Nakayama的ω-层和ω̂-层理论。作为应用，我们利用具有大边界除子的射影klt对的极小模型程序，证明了仿射簇的对数Kodaira维数的次可加性。
引用
@article{arxiv.1406.2759,
title = {On subadditivity of the logarithmic Kodaira dimension},
author = {Osamu Fujino},
journal= {arXiv preprint arXiv:1406.2759},
year = {2016}
}
备注
18 pages, v2: Corollary 1.5, which is obviously wrong, was removed, v3: title changed, various revisions, v4: minor revisions, v5: minor revisions, v6: very minor revisions, v7: very minor revisions following referee's comments, v8: Theorem 1.9, Lemma 2.8, and Remark 3.8 are new. some mistakes are corrected