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F-injective singularities are Du Bois
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 131, Number 2, April 2009
- pp. 445-473
- 10.1353/ajm.0.0049
- Article
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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.