On the Hodge theory of toroidal embeddings and corresponding vanishings
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866914971400536064 |
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| author | Wei, Chuanhao |
| author_facet | Wei, Chuanhao |
| contents | In this paper, we establish Deligne's logarithmic comparison theorem and the $E_1$-degeneration of the corresponding Hodge-de Rham spectral sequence, in the setting of toroidal embeddings. Along the way, we prove Kawamata-Viehweg Vanishing and Bott Vanishing for toroidal varieties and toric varieties respectively. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_09899 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the Hodge theory of toroidal embeddings and corresponding vanishings Wei, Chuanhao Algebraic Geometry 14C30, 14F17, 14M25 In this paper, we establish Deligne's logarithmic comparison theorem and the $E_1$-degeneration of the corresponding Hodge-de Rham spectral sequence, in the setting of toroidal embeddings. Along the way, we prove Kawamata-Viehweg Vanishing and Bott Vanishing for toroidal varieties and toric varieties respectively. |
| title | On the Hodge theory of toroidal embeddings and corresponding vanishings |
| topic | Algebraic Geometry 14C30, 14F17, 14M25 |
| url | https://arxiv.org/abs/2410.09899 |