Stability conditions on products of curves and Hilbert schemes of surfaces
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912768012058624 |
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| author | Li, Chunyi Macrì, Emanuele Perry, Alexander Stellari, Paolo Zhao, Xiaolei |
| author_facet | Li, Chunyi Macrì, Emanuele Perry, Alexander Stellari, Paolo Zhao, Xiaolei |
| contents | We prove that stability conditions on the derived category of a product of curves of positive genus are uniquely determined by their central charge and the phase of skyscraper sheaves. As an application, we construct stability conditions on Hilbert schemes of points on certain surfaces, including some K3 surfaces of Kummer type. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_14207 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Stability conditions on products of curves and Hilbert schemes of surfaces Li, Chunyi Macrì, Emanuele Perry, Alexander Stellari, Paolo Zhao, Xiaolei Algebraic Geometry We prove that stability conditions on the derived category of a product of curves of positive genus are uniquely determined by their central charge and the phase of skyscraper sheaves. As an application, we construct stability conditions on Hilbert schemes of points on certain surfaces, including some K3 surfaces of Kummer type. |
| title | Stability conditions on products of curves and Hilbert schemes of surfaces |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2512.14207 |