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On existence of log minimal models II

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Published/Copyright: March 23, 2011
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Journal für die reine und angewandte Mathematik
From the journal Volume 2011 Issue 658

Abstract

We prove that the existence of log minimal models in dimension d essentially implies the LMMP with scaling in dimension d. As a consequence we prove that a weak nonvanishing conjecture in dimension d implies the minimal model conjecture in dimension d.

Received: 2009-09-03
Revised: 2010-03-09
Published Online: 2011-03-23
Published in Print: 2011-September

© Walter de Gruyter Berlin · New York 2011

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