an:06870620
Zbl 1388.14058
Fujino, Osamu; Gongyo, Yoshinori
On log canonical rings
EN
Oguiso, Keiji (ed.) et al., Higher dimensional algebraic geometry. In honour of Professor Yujiro Kawamata's sixtieth birthday. Proceedings of the conference, Tokyo, Japan, January 7--11, 2013. Tokyo: Mathematical Society of Japan (MSJ) (ISBN 978-4-86497-046-4/hbk). Advanced Studies in Pure Mathematics 74, 159-169 (2017).
2017
a
14E30 14C20
Summary: 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.
For the entire collection see [Zbl 1388.14012].