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arXiv · 2602.05197

Local Cohomological Defect and a Conjecture of Mustata-Popa

Andrew Burke
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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.

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Andrew Burke. 2026-02-05. Local Cohomological Defect and a Conjecture of Mustata-Popa. https://arxiv.org/abs/2602.05197

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