On log canonical rings
Algebraic Geometry
2013-07-15 v2
Abstract
We discuss the relationship among various conjectures in the minimal model theory including the finite generation conjecture of the log canonical rings and the abundance conjecture. In particular, we show that the finite generation conjecture of the log canonical rings for log canonical pairs can be reduced to that of the log canonical rings for purely log terminal pairs of log general type.
Cite
@article{arxiv.1302.5194,
title = {On log canonical rings},
author = {Osamu Fujino and Yoshinori Gongyo},
journal= {arXiv preprint arXiv:1302.5194},
year = {2013}
}
Comments
11 pages, v2: revision following referee's report, Appendix is new, the referee's proof of Lemma 3.2 is added