ACC for log canonical thresholds and termination of log flips

Details ACC for log canonical thresholds and termination of log flips ACC for log canonical thresholds and termination of log flips

2005-02-06

arxiv.org/abs/math/0502116v1

Mathematics

Algebraic Geometry

6 pages

Scientific paper

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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