Pluricanonical systems on algebraic varieties of general type

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On pluricanonical systems of algebraic varieties of general type (2008, background): “According to Hacon-Mckernan [10], Takayama [19] and Tsuji [20], one knows λn +∞.”
Existence of minimal models for varieties of log general type (2006, unknown): “See also [14] and [16] for related statements.”
On the birational automorphisms of varieties of general type (2010, methodology): “The first step uses some ideas of Tsuji that are used to prove some fixed multiple of KX defines a birational map for a variety X of general type; see [28], [15] and [27].”