English

ACC for log canonical thresholds and termination of log flips

Algebraic Geometry 2007-05-23 v1

Abstract

We prove that the ascending chain condition (ACC) for log canonical (lc) thresholds in dimension dd and Special Termination in dimension dd imply the termination of any sequence of log flips starting with a dd-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.

Keywords

Cite

@article{arxiv.math/0502116,
  title  = {ACC for log canonical thresholds and termination of log flips},
  author = {Caucher Birkar},
  journal= {arXiv preprint arXiv:math/0502116},
  year   = {2007}
}

Comments

6 pages