Injectivity and Vanishing for the Du Bois Complexes of Isolated Singularities
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866910259018203136 |
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| author | Popa, Mihnea Shen, Wanchun Vo, Anh Duc |
| author_facet | Popa, Mihnea Shen, Wanchun Vo, Anh Duc |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_18019 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Injectivity and Vanishing for the Du Bois Complexes of Isolated Singularities Popa, Mihnea Shen, Wanchun Vo, Anh Duc Algebraic Geometry 14B05, 14F17, 32S35 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. |
| title | Injectivity and Vanishing for the Du Bois Complexes of Isolated Singularities |
| topic | Algebraic Geometry 14B05, 14F17, 32S35 |
| url | https://arxiv.org/abs/2409.18019 |