Local Cohomological Defect and a Conjecture of Mustata-Popa
Algebraic Geometry
2026-02-06 v1
Abstract
We prove a general result on the depth of Du Bois complexes of a singular variety. We apply it to prove a conjecture of Mustata-Popa and to study the local cohomological defect, extending results of Ogus and Dao-Takagi over the complex numbers.
Cite
@article{arxiv.2602.05197,
title = {Local Cohomological Defect and a Conjecture of Mustata-Popa},
author = {Andrew Burke},
journal= {arXiv preprint arXiv:2602.05197},
year = {2026}
}