Kovács proves that for varieties with pre-(m-1)-Du Bois singularities, the Grothendieck dual of the m-th graded Du Bois complex injects into the dual of its zeroth cohomology sheaf on cohomology, confirming Conjecture G.
Artin : On isolated rational singularities of surfaces, Amer
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Complexes of differential forms and singularities: The injectivity theorem
Kovács proves that for varieties with pre-(m-1)-Du Bois singularities, the Grothendieck dual of the m-th graded Du Bois complex injects into the dual of its zeroth cohomology sheaf on cohomology, confirming Conjecture G.