Log pluricanonical representations and abundance conjecture
Algebraic Geometry
2012-04-10 v3
Abstract
We prove the finiteness of log pluricanonical representations for projective log canonical pairs with semi-ample log canonical divisor. As a corollary, we obtain that the log canonical divisor of a projective semi log canonical pair is semi-ample if and only if so is the log canonical divisor of its normalization. We also treat many other applications.
Keywords
Cite
@article{arxiv.1104.0361,
title = {Log pluricanonical representations and abundance conjecture},
author = {Osamu Fujino and Yoshinori Gongyo},
journal= {arXiv preprint arXiv:1104.0361},
year = {2012}
}
Comments
35 pages, v2: minor modifications, v3: major revised