arXiv Analytics

Sign in

arXiv:math/0502116 [math.AG]AbstractReferencesReviewsResources

ACC for log canonical thresholds and termination of log flips

Caucher Birkar

Published 2005-02-06Version 1

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.

Related articles: Most relevant | Search more
arXiv:math/0211423 [math.AG] (Published 2002-11-27)
Strong resolution of singularities in characteristic zero
arXiv:1207.1329 [math.AG] (Published 2012-07-05, updated 2013-07-20)
Stably Cayley groups in characteristic zero
arXiv:math/0703678 [math.AG] (Published 2007-03-22, updated 2008-09-11)
Desingularization of quasi-excellent schemes in characteristic zero