F-injective singularities are Du Bois
Karl Schwede
TL;DR
This paper proves that F-injective singularities are Du Bois, establishing a link between singularities in the minimal model program and those characterized by Frobenius action in positive characteristic.
Contribution
It demonstrates that F-injective singularities are Du Bois, extending the correspondence between different classes of singularities in algebraic geometry.
Findings
F-injective singularities are Du Bois
Extends the correspondence between singularity classes
Bridges minimal model program and Frobenius action theories
Abstract
In this paper, we prove that singularities of -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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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Commutative Algebra and Its Applications · Homotopy and Cohomology in Algebraic Topology