Generic Vanishing for Singular Varieties via Du Bois complexes
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866910650900414464 |
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| author | Vo, Anh Duc |
| author_facet | Vo, Anh Duc |
| contents | We prove appropriate generic vanishing theorems for singular varieties, generalizing the well-known generic vanishing theorem by Green and Lazarsfeld in [GL87] and the generic vanishing theorem of Nakano type in [PS13]. Our theorem explains the counterexample of Hacon and Kovács in [HK15]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_11109 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Generic Vanishing for Singular Varieties via Du Bois complexes Vo, Anh Duc Algebraic Geometry 14F17, 32L20, 32S35 We prove appropriate generic vanishing theorems for singular varieties, generalizing the well-known generic vanishing theorem by Green and Lazarsfeld in [GL87] and the generic vanishing theorem of Nakano type in [PS13]. Our theorem explains the counterexample of Hacon and Kovács in [HK15]. |
| title | Generic Vanishing for Singular Varieties via Du Bois complexes |
| topic | Algebraic Geometry 14F17, 32L20, 32S35 |
| url | https://arxiv.org/abs/2410.11109 |