Injectivity and Vanishing for the Du Bois Complexes of Isolated Singularities
Algebraic Geometry
2026-05-27 v2
Abstract
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.
Cite
@article{arxiv.2409.18019,
title = {Injectivity and Vanishing for the Du Bois Complexes of Isolated Singularities},
author = {Mihnea Popa and Wanchun Shen and Anh Duc Vo},
journal= {arXiv preprint arXiv:2409.18019},
year = {2026}
}
Comments
26 pages; small corrections and additions made