Vol. 6, No. 4, 2012
Download this article
Download this article For screen
For printing
Recent Issues

Volume 18, 1 issue

Volume 17, 12 issues

Volume 16, 10 issues

Volume 15, 10 issues

Volume 14, 10 issues

Volume 13, 10 issues

Volume 12, 10 issues

Volume 11, 10 issues

Volume 10, 10 issues

Volume 9, 10 issues

Volume 8, 10 issues

Volume 7, 10 issues

Volume 6, 8 issues

Volume 5, 8 issues

Volume 4, 8 issues

Volume 3, 8 issues

Volume 2, 8 issues

Volume 1, 4 issues

The Journal
About the Journal
Editorial Board
Editors’ Interests
Subscriptions
 
Submission Guidelines
Submission Form
Policies for Authors
Ethics Statement
 
ISSN: 1944-7833 (e-only)
ISSN: 1937-0652 (print)
Author Index
To Appear
 
Other MSP Journals
Basepoint-free theorems: saturation, b-divisors, and canonical bundle formula

Osamu Fujino
Vol. 6 (2012), No. 4, 797–823
DOI: 10.2140/ant.2012.6.797
Abstract

We reformulate basepoint-free theorems using notions introduced by Shokurov, such as b-divisors and saturation of linear systems. Our formulation is flexible and has some important applications. One of the main purposes of this paper is to prove a generalization of the basepoint-free theorem in Fukuda’s paper “On numerically effective log canonical divisors”.

Keywords
basepoint-free theorem, canonical bundle formula, b-divisor, saturation
Mathematical Subject Classification 2010
Primary: 14C20
Secondary: 14N30, 14E30
Milestones
Received: 30 April 2011
Revised: 18 May 2011
Accepted: 20 June 2011
Published: 25 July 2012
Authors
Osamu Fujino
Department of Mathematics, Faculty of Science
Kyoto University
Sakyo-ku Kitashirakawa
Oiwake-cho, Kyoto 606-8502
Japan