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arXiv:2409.18019 [math.AG]AbstractReferencesReviewsResources

Injectivity and Vanishing for the Du Bois Complexes of Isolated Singularities

Mihnea Popa, Wanchun Shen, Anh Duc Vo

Published 2024-09-26, updated 2024-10-17Version 2

We prove an injectivity theorem for the cohomology of the Du Bois complexes of varieties with isolated singularities. We use this to deduce vanishing statements for the cohomologies of higher Du Bois complexes of such varieties. Besides some extensions and conjectures in the non-isolated case, we also provide analogues for intersection complexes.

Comments: 26 pages; small corrections and additions made
Categories: math.AG
Subjects: 14B05, 14F17, 32S35
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