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2009 Log minimal models according to Shokurov
Caucher Birkar
Algebra Number Theory 3(8): 951-958 (2009). DOI: 10.2140/ant.2009.3.951

Abstract

Following Shokurov’s ideas, we give a short proof of the following klt version of his result: termination of terminal log flips in dimension d implies that any klt pair of dimension d has a log minimal model or a Mori fibre space. Thus, in particular, any klt pair of dimension 4 has a log minimal model or a Mori fibre space.

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Caucher Birkar. "Log minimal models according to Shokurov." Algebra Number Theory 3 (8) 951 - 958, 2009. https://doi.org/10.2140/ant.2009.3.951

Information

Received: 12 March 2009; Revised: 7 September 2009; Accepted: 6 October 2009; Published: 2009
First available in Project Euclid: 20 December 2017

zbMATH: 1194.14021
MathSciNet: MR2587409
Digital Object Identifier: 10.2140/ant.2009.3.951

Subjects:
Primary: 14E30

Keywords: minimal models , Mori fibre spaces

Rights: Copyright © 2009 Mathematical Sciences Publishers

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