A characterization of rational singularities

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Log canonical singularities are Du Bois (2009, background): “On the other hand the assumptions of the theorem and [ Kov00a , Thm 1] imply that if Y \ F has rational singularities, e.g., if Y is smooth, then X \ W has rational singularities as well.”
The intersection homology D–module in finite characteristic (2001, background): “One of the most significant is the equivalence of the notions of rational singularity and F–rational type which was established by Smith [Smi97a] and Hara [Har98], and independently by Mehta and Shrinivas [ MS97 ].”
F-singularities of pairs and Inversion of Adjunction of arbitrary codimension (2003, background): “log canonical singularities (see [7], [10], [21] and [24]).”
Geometric interpretation of tight closure and test ideals (2001, methodology): “Srinivas [ MS ]. They gave a cohomological description of 0Hd m(R) without assuming the isolatedness of the non-(F -)rational locus.”
Singularities of Generalized Richardson Varieties (2010, background): “By [ 35 , Theorem 3], this implies that projection varieties are Cohen–Macaulay.”