F-injective singularities are Du Bois

Mathematics – Algebraic Geometry

Scientific paper

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minor typos corrected, to appear in the American Journal of Mathematics

Scientific paper

In this paper, we prove that singularities of $F$-injective type are Du Bois.
This extends the correspondence between singularities associated to the minimal
model program and singularities defined by the action of Frobenius in positive
characteristic.

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