Open Access
VOL. 74 | 2017 On log canonical rings
Chapter Author(s) Osamu Fujino, Yoshinori Gongyo
Editor(s) Keiji Oguiso, Caucher Birkar, Shihoko Ishii, Shigeharu Takayama
Adv. Stud. Pure Math., 2017: 159-169 (2017) DOI: 10.2969/aspm/07410159

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.

Information

Published: 1 January 2017
First available in Project Euclid: 23 October 2018

zbMATH: 1388.14058
MathSciNet: MR3791212

Digital Object Identifier: 10.2969/aspm/07410159

Subjects:
Primary: 14E30

Rights: Copyright © 2017 Mathematical Society of Japan

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