an:00953756
Zbl 0873.14014
Shokurov, V. V.
3-fold log models
EN
J. Math. Sci., New York 81, No. 3, 2667-2699 (1996).
00037623
1996
j
14E30 14J30 14M07
log minimal model program; flips; abundance; vanishing theorems
The author improves the results of the log minimal model program (LMMP) on cones, contractions, flips, termination and abundance, proving them under the following more general conditions: (i) boundaries are \(\mathbb{R}\)-divisors (instead of \(\mathbb{Q}\)-divisors), (ii) singularities are log canonical (instead of log terminal).
The proofs are based both on the analogous theorems in the standard case and on vanishing theorems.
L.Picco Botta (Torino)