Introduces quasi-rational singularities and proves an isolated singularity is rational precisely when it is quasi-rational, Du Bois, and certain local mixed Hodge numbers vanish.
Mixed Hodge complexes on algebraic varieties
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Under a codimension assumption on the singular locus, isomorphism of the m-th differential sheaf implies isomorphisms for all lower i on complex hypersurfaces, with a positive characteristic analogue discussed.
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Differential Forms and Hodge Structures on Singular Varieties
Introduces quasi-rational singularities and proves an isolated singularity is rational precisely when it is quasi-rational, Du Bois, and certain local mixed Hodge numbers vanish.
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Higher singularities for hypersurfaces
Under a codimension assumption on the singular locus, isomorphism of the m-th differential sheaf implies isomorphisms for all lower i on complex hypersurfaces, with a positive characteristic analogue discussed.