半对数典范对的消灭定理与半正性定理
代数几何
2018-02-16 v4
摘要
我们证明了射影半对数典范对的对数多重典范层直像的有效消灭定理。作为应用，我们得到了曲线上射影半对数典范对的相对对数多重典范层直像的半正性定理，这蕴含了稳定簇模空间的射影性。值得一提的是，我们没有使用（混合）Hodge 结构的变分理论。
引用
@article{arxiv.1509.00531,
title = {Vanishing and semipositivity theorems for semi-log canonical pairs},
author = {Osamu Fujino},
journal= {arXiv preprint arXiv:1509.00531},
year = {2018}
}
备注
13 pages, v2: very minor revisions, v3: references and address were updated, v4: minor revisions, references were updated