Singularities of the minimal model program

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Boundedness of moduli of varieties of general type (2014, background): “[22, 23, 24] and [24, 5.”
The local fundamental group of a Kawamata log terminal singularity is finite (2020, background): “Let f : Y → X be a plt blowup extracting the Kollár component E = f−1(x).”
Singular foliations with trivial canonical class (2011, methodology): “We will make use of the concept of log canonical pair, see [31] for a thorough treatment of this concept.”
Minimal model program for excellent surfaces (2016, methodology): “• We will freely use the notation and terminology in [Har77] and [Kol13].”
Kähler–Einstein metrics and volume minimization (2016, background): “Such cone singularities are basic examples of Q-Gorenstein klt singularities (see [Kol13]).”
Semipositivity theorems for moduli problems (2012, background): “For the details of semi-log-canonical varieties, see, for example, [Fn14] and [Kol13b].”
On the three dimensional minimal model program in positive characteristic (2013, background): “Since, by adjunction, KSn +BSn = (KX + S +B)|Sn , we have that the coefficients of (Sn, BSn) also lie in {1 − 1n |n ∈ N} (cf. [Kollár13, 3.36]) and so, by (3.1), (Sn, BSn) is strongly F -regular.”