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We give an alternate proof of the main theorem of Kawamata's paper: Pluricanonical systems on minimal algebraic varieties.
Y. Kawamata, Pluricanonical systems on minimal algebraic varieties, Invent. Math. 79
1985
Earlier work this paper cites.
N. Nakayama, Invariance of the plurigenera of algebraic varieties under minimal model conjectures, Topology 25
1986
Earlier work this paper cites.
Y. Kawamata, K. Matsuda, and K. Matsuki, Introduction to the minimal model problem, Algebraic geometry, Sendai, 1985, 283–360, Adv. Stud. Pure Math., 10
1987
Earlier work this paper cites.
S. Mori, Classification of higher-dimensional varieties, Algebraic geometry, Bowdoin, 1985 (Brunswick, Maine, 1985), 269–331, Proc. Sympos. Pure Math., 46
1987
Earlier work this paper cites.
N. Nakayama, The lower semicontinuity of the plurigenera of complex varieties, Algebraic geometry, Sendai, 1985, 551–590, Adv. Stud. Pure Math., 10
1987
Earlier work this paper cites.
O. Fujino, and S. Mori, A canonical bundle formula, J. Differential Geom. 56
2000
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S. Fukuda, On numerically effective log canonical divisors, Int. J. Math. Math. Sci. 30
2002
Earlier work this paper cites.
F. Ambro, Shokurov’s boundary property, J. Differential Geom. 67
2004
Cited alongside, same era.
J-P. Demailly, and M. Paun, Numerical characterization of the Kähler cone of a compact Kähler manifold, Ann. of Math. (2) 159
2004
Cited alongside, same era.
N. Nakayama, Zariski-decomposition and abundance
2004
Cited alongside, same era.
O. Fujino, Remarks on algebraic fiber spaces, J. Math. Kyoto Univ. 45
2005
Cited alongside, same era.
C. Birkar, P. Cascini, C. Hacon, and J. McKernan, Existence of minimal models for varieties of log general type, preprint 2006
2006
Cited alongside, same era.
F. Ambro, Non-klt techniques, in Flips for 3 3 -folds and 4 4 -folds
2007
Cited alongside, same era.
O. Fujino, What is log terminal?, in Flips for 3 3 -folds and 4 4 -folds
2007
Later among the works it cites.
O. Fujino, Base point free theorems—saturation, b-divisors, and canonical bundle formula—, preprint, 2007
2007
Later among the works it cites.
J. Kollár, Kodaira’s canonical bundle formula and adjunction, in Flips for 3 3 -folds and 4 4 -folds
2007
Later among the works it cites.
F. Campana, K. Oguiso, and T. Peternell, Non-algebraic Hyperkaehler manifolds, preprint, 2008
2008
Later among the works it cites.
O. Fujino, Introduction to the log minimal model program for log canonical pairs, preprint 2008
2008
Later among the works it cites.
O. Fujino, Finite generation of the log canonical ring in dimension four, preprint, 2008
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A. Corti, 3 3 -fold flips after Shokurov, in Flips for 3 3 -folds and 4 4 -folds
2007
Cited alongside, same era.
2008
Later among the works it cites.