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arXiv · 0907.4170

On existence of log minimal models II

Caucher Birkar
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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 $d$.

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Caucher Birkar. 2009-07-23. On existence of log minimal models II. https://arxiv.org/abs/0907.4170

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