Local Cohomological Defect and a Conjecture of Mustata-Popa
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
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| _version_ | 1866914306780561408 |
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| author | Burke, Andrew |
| author_facet | Burke, Andrew |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_05197 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Local Cohomological Defect and a Conjecture of Mustata-Popa Burke, Andrew Algebraic Geometry 14B05, 14F10, 32S35 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. |
| title | Local Cohomological Defect and a Conjecture of Mustata-Popa |
| topic | Algebraic Geometry 14B05, 14F10, 32S35 |
| url | https://arxiv.org/abs/2602.05197 |