NC-smooth thickenings and Jacobians
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866913824176603136 |
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| author | Polishchuk, Alexander |
| author_facet | Polishchuk, Alexander |
| contents | We prove that a bounded complex of coherent sheaves on an abelian variety A, whose Fourier-Mukai transform has support of dimension at most 1, extends to a perfect complex on the standard NC-smooth thickening of A and on the deformation quantization of any constant Poisson bracket on A. We discuss a related conjectural characterization of Jacobians in terms of NC-smooth thickenings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_04023 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | NC-smooth thickenings and Jacobians Polishchuk, Alexander Algebraic Geometry We prove that a bounded complex of coherent sheaves on an abelian variety A, whose Fourier-Mukai transform has support of dimension at most 1, extends to a perfect complex on the standard NC-smooth thickening of A and on the deformation quantization of any constant Poisson bracket on A. We discuss a related conjectural characterization of Jacobians in terms of NC-smooth thickenings. |
| title | NC-smooth thickenings and Jacobians |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2505.04023 |