Open Access
VOL. 70 | 2016 On finiteness of B-representations and semi-log canonical abundance
Christopher D. Hacon, Chenyang Xu

Editor(s) János Kollár, Osamu Fujino, Shigeru Mukai, Noboru Nakayama

Adv. Stud. Pure Math., 2016: 361-377 (2016) DOI: 10.2969/aspm/07010361

Abstract

We give a new proof of the finiteness of B-representations. As a consequence of the finiteness of B-representations and Kollár's gluing theory on lc centers, we prove that the (relative) abundance conjecture for slc pairs is implied by the abundance conjecture for log canonical pairs.

Information

Published: 1 January 2016
First available in Project Euclid: 4 October 2018

zbMATH: 1369.14024
MathSciNet: MR3618266

Digital Object Identifier: 10.2969/aspm/07010361

Subjects:
Primary: 14E07 , 14E30

Keywords: $\mathbf{B}$-representations , semi-log canonical abundance

Rights: Copyright © 2016 Mathematical Society of Japan

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