Ascending chain condition for log canonical thresholds and termination of log flips
Birkar, Caucher
Duke Math. J., Tome 136 (2007) no. 1, p. 173-180 / Harvested from Project Euclid
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We prove that the ascending chain condition (ACC) for log canonical (lc) thresholds in dimension $d$ , existence of log flips in dimension $d$ , and the log minimal model program (LMMP) in dimension $d{-}1$ imply termination of any sequence of log flips starting with a $d$ -dimensional effective lc pair and also imply termination of flops in dimension $d$ . In particular, the latter terminations in dimension $4$ follow from the Alexeev-Borisov conjecture in dimension $3$
Publié le : 2007-01-15
Classification:  14E30,  14J35 
@article{1165244882,
     author = {Birkar, Caucher},
     title = {Ascending chain condition for log canonical thresholds and termination of log flips},
     journal = {Duke Math. J.},
     volume = {136},
     number = {1},
     year = {2007},
     pages = { 173-180},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1165244882}
}

Birkar, Caucher. Ascending chain condition for log canonical thresholds and termination of log flips. Duke Math. J., Tome 136 (2007) no. 1, pp.  173-180. http://gdmltest.u-ga.fr/item/1165244882/