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arXiv · 2505.09912

Complexes of differential forms and singularities: The injectivity theorem

Sándor Kovács
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Abstract

In this paper, it is proved, that for varieties with (m-1)-Du Bois singularities, the natural morphism from the Grothendieck dual of the m-th graded Du Bois complex to the Grothendieck dual of its zero-th cohomology sheaf is injective on cohomology. This confirms Conjecture G of Popa, Shen, and Vo [PSV24].

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Sándor Kovács. 2025-05-15. Complexes of differential forms and singularities: The injectivity theorem. https://arxiv.org/abs/2505.09912

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