Non-vanishing theorem for log canonical pairs
Algebraic Geometry
2009-12-01 v3
Abstract
We obtain a correct generalization of Shokurov's non-vanishing theorem for log canonical pairs. It implies the base point free theorem for log canonical pairs. We also prove the rationality theorem for log canonical pairs. As a corollary, we obtain the cone theorem for log canonical pairs. We do not need Ambro's theory of quasi-log varieties.
Keywords
Cite
@article{arxiv.0901.0409,
title = {Non-vanishing theorem for log canonical pairs},
author = {Osamu Fujino},
journal= {arXiv preprint arXiv:0901.0409},
year = {2009}
}
Comments
13 pages, v2: minor revisions, v3: minor revisions following referee's comments