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We prove the existence of pl-flips.
H. Tsuji, Pluricanonical systems of projective varieties of general type , arXiv:math.AG/9909021
1930
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E. Szabó, Divisorial log terminal singularities , J. Math. Sci. Univ. Tokyo 1
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J. Kollár and S. Mori, Birational geometry of algebraic varieties , Cambridge tracts in mathematics, vol. 134, Cambridge University Press, 1998
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by same author, Invariance of plurigenera , Invent. Math. 134
1998
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Y. Kawamata, On the extension problem of pluricanonical forms , Algebraic geometry: Hirzebruch 70 (Warsaw, 1998), Contemp. Math., vol. 241, Amer. Math. Soc., Providence, RI, 1999, pp. 193–207
1999
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V. V. Shokurov, Prelimiting flips , Proc. Steklov Inst. of Math. 240
2003
Cited alongside, same era.
R. Lazarsfeld, Positivity in algebraic geometry. I , Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. A Series of Modern Surveys in Mathematics [Results in Mathematics and Related Areas. 3rd Series. A Series of Modern Surveys in Mathematics], vol. 48, Springer-Verlag, Berlin, 2004, Classical setting: line bundles and linear series
2004
Cited alongside, same era.
by same author, Positivity in algebraic geometry. II , Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. A Series of Modern Surveys in Mathematics [Results in Mathematics and Related Areas. 3rd Series. A Series of Modern Surveys in Mathematics], vol. 49, Springer-Verlag, Berlin, 2004, Positivity for vector bundles, and multiplier ideals
2004
Cited alongside, same era.
A. Corti, 3-fold flips after Shokurov , Flips for 3-folds and 4-folds (Alessio Corti, ed.), Oxford University Press, 2005, pp. 13–40
2005
F. Ambro, Restrictions of log canonical algebras of general type , J. Math. Sci. Univ. Tokyo 13
2006
Later among the works it cites.
C. Hacon and J. M c Kernan, Boundedness of pluricanonical maps of varieties of general type , Invent. Math. 166
2006
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S. Takayama, Pluricanonical systems on algebraic varieties of general type , Invent. Math. 165
2006
Later among the works it cites.
by same author, Extension theorems and the existence of flips , Flips for 3-folds and 4-folds (Alessio Corti, ed.), Oxford University Press, 2007, pp. 79–100
2007
Later among the works it cites.
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Cited alongside, same era.
C. Birkar, P. Cascini, C. Hacon, and J. M c Kernan, Existence of minimal models for varieties of log general type , arXiv:math.AG/0610203
Cited in the paper.
Y-T. Siu, A General Non-Vanishing Theorem and an Analytic Proof of the Finite Generation of the Canonical Ring , arXiv:math.AG/0610740
Cited in the paper.