English

F-injective singularities are Du Bois

Algebraic Geometry 2009-04-28 v2 Commutative Algebra

Abstract

In this paper, we prove that singularities of FF-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.

Cite

@article{arxiv.0806.3298,
  title  = {F-injective singularities are Du Bois},
  author = {Karl Schwede},
  journal= {arXiv preprint arXiv:0806.3298},
  year   = {2009}
}

Comments

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

R2 v1 2026-06-21T10:52:40.632Z