Existence of log canonical flips and a special LMMP
Publications Mathématiques de l'IHÉS, Tome 115 (2012), pp. 325-368
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ZblLet (X/Z,B+A) be a Q-factorial dlt pair where B,A≥0 are Q-divisors and K X +B+A∼ Q 0/Z. We prove that any LMMP/Z on K X +B with scaling of an ample/Z divisor terminates with a good log minimal model or a Mori fibre space. We show that a more general statement follows from the ACC for lc thresholds. An immediate corollary of these results is that log flips exist for log canonical pairs.
Birkar, Caucher. Existence of log canonical flips and a special LMMP. Publications Mathématiques de l'IHÉS, Tome 115 (2012), pp. 325-368. doi: 10.1007/s10240-012-0039-5
@article{PMIHES_2012__115__325_0,
author = {Birkar, Caucher},
title = {Existence of log canonical flips and a special {LMMP}},
journal = {Publications Math\'ematiques de l'IH\'ES},
pages = {325--368},
year = {2012},
publisher = {Springer-Verlag},
volume = {115},
doi = {10.1007/s10240-012-0039-5},
zbl = {1256.14012},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1007/s10240-012-0039-5/}
}
TY - JOUR AU - Birkar, Caucher TI - Existence of log canonical flips and a special LMMP JO - Publications Mathématiques de l'IHÉS PY - 2012 SP - 325 EP - 368 VL - 115 PB - Springer-Verlag UR - http://geodesic.mathdoc.fr/articles/10.1007/s10240-012-0039-5/ DO - 10.1007/s10240-012-0039-5 LA - en ID - PMIHES_2012__115__325_0 ER -
%0 Journal Article %A Birkar, Caucher %T Existence of log canonical flips and a special LMMP %J Publications Mathématiques de l'IHÉS %D 2012 %P 325-368 %V 115 %I Springer-Verlag %U http://geodesic.mathdoc.fr/articles/10.1007/s10240-012-0039-5/ %R 10.1007/s10240-012-0039-5 %G en %F PMIHES_2012__115__325_0
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