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| Format: | Preprint |
| Publié: |
2025
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| Accès en ligne: | https://arxiv.org/abs/2505.09912 |
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| _version_ | 1866910025162686464 |
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| author | Kovács, Sándor |
| author_facet | Kovács, Sándor |
| contents | In this paper, it is proved, that for varieties with (m-1)-Du Bois singularities, the natural morphism from the Grothendieck dual of the m-th graded Du Bois complex to the Grothendieck dual of its zero-th cohomology sheaf is injective on cohomology. This confirms Conjecture G of Popa, Shen, and Vo [PSV24]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_09912 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Complexes of differential forms and singularities: The injectivity theorem Kovács, Sándor Algebraic Geometry 14B05 In this paper, it is proved, that for varieties with (m-1)-Du Bois singularities, the natural morphism from the Grothendieck dual of the m-th graded Du Bois complex to the Grothendieck dual of its zero-th cohomology sheaf is injective on cohomology. This confirms Conjecture G of Popa, Shen, and Vo [PSV24]. |
| title | Complexes of differential forms and singularities: The injectivity theorem |
| topic | Algebraic Geometry 14B05 |
| url | https://arxiv.org/abs/2505.09912 |