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ACC for log canonical thresholds and termination of log flips

Caucher Birkar
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Abstract

We prove that the ascending chain condition (ACC) for log canonical (lc) thresholds in dimension $d$ and Special Termination in dimension $d$ imply the termination of any sequence of log flips starting with a $d$-dimensional lc pair of nonnegative Kodaira dimension. In particular, in characteristic zero, the latter termination in dimension 4 follows from Alexeev-Borisov's conjecture in dimension 3.

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Caucher Birkar. 2005-02-06. ACC for log canonical thresholds and termination of log flips. https://arxiv.org/abs/math/0502116

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