On k-rational and k-Du Bois local complete intersections

Abstract

We show that k-rational singularities of local complete intersections are k-Du Bois. For hypersurfaces, we characterize k-rationality in terms of the minimal exponent. We also establish some local vanishing results for k-rational and k-Du Bois singularities. Some of these results have been independently obtained in [FL2].

25 pages; v.2: Prop. 2.8 has been added, improved presentation. V.3: minor changes, to appear in Algebraic Geometry

Cited by in corpus (1)

• Deformations of Calabi-Yau varieties with $k$-liminal singularities