Injectivity and vanishing for the Du Bois complexes of isolated singularities

Algebra & Number Theory 2026 Open access

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Authors: Mihnea Gabriel Popa, Wanchun Shen, Anh Duc Vo
DOI: 10.2140/ant.2026.20.1235
Cited by: 0

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.

Fields of Study & Subjects

Topological and Geometric Data Analysis Commutative Algebra and Its Applications Homotopy and Cohomology in Algebraic Topology

Publication details

Journal / source
Algebra & Number Theory
Volume
20
Issue
6
Pages
1235–1262
Publication date
26 May 2026
Language
EN