Explicit birational geometry of 3-folds

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Explicit birational geometry of threefolds of general type (2007, background): “For known results under extra assumptions, one may refer to [3, 4, 5, 6, 8, 9, 10, 14, 18, 20] and others.”
Topics in classical algebraic geometry (2006, neutral): “We refer to [ 127] or [228] for the theory of weighted projective spaces and their subvarieties.”
Three-fold divisorial contractions to singularities of higher indices (2003, methodology): “It is natural to regard f as an extraction from X in view of Sarkisov program, a program which factorises a birational map between Mori fibre spaces, because Sarkisov links of types I and II in this program start from the converse of divisorial contractions, see [5], [7] and [8].”
Threefold thresholds (2003, background): “It is proved in [27], see also [6], that the existence of the flip of f is equivalent to finite generation of the sheaf f∗F , where F is a sheaf with support on S.”
Boundedness of pluricanonical maps of varieties of general type (2005, background): “In particular for the threefold X46, a hypersurface in the weighted projective space P(4, 5, 6, 7, 23), see [8], φmKX is birational iff m = 23, or m ≥ 27.”
Classical Algebraic Geometry: A Modern View (2012, neutral): “We refer to [ 174] or [310] for the theory of weighted projective spaces and their subvarieties.”