Joint Deformations of Manifolds, Coherent Sheaves and Sections
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911420144156672 |
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| author | Iacono, Donatella Manetti, Marco |
| author_facet | Iacono, Donatella Manetti, Marco |
| contents | We describe a differential graded Lie algebra controlling infinitesimal deformations of triples $(X,\mathcal{F},σ)$, where $\mathcal{F}$ is a coherent sheaf on a smooth variety $X$ over a field of characteristic 0 and $σ\in H^0(X,\mathcal{F})$. Then, we apply this result to investigate deformations of pairs (variety, divisor). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_20276 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Joint Deformations of Manifolds, Coherent Sheaves and Sections Iacono, Donatella Manetti, Marco Algebraic Geometry 14D15, 17B70, 13D10, 14B10 We describe a differential graded Lie algebra controlling infinitesimal deformations of triples $(X,\mathcal{F},σ)$, where $\mathcal{F}$ is a coherent sheaf on a smooth variety $X$ over a field of characteristic 0 and $σ\in H^0(X,\mathcal{F})$. Then, we apply this result to investigate deformations of pairs (variety, divisor). |
| title | Joint Deformations of Manifolds, Coherent Sheaves and Sections |
| topic | Algebraic Geometry 14D15, 17B70, 13D10, 14B10 |
| url | https://arxiv.org/abs/2507.20276 |