Derived category of coherent systems on curves and stability conditions
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866912685516390400 |
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| author | Feyzbakhsh, Soheyla Novik, Aliaksandra |
| author_facet | Feyzbakhsh, Soheyla Novik, Aliaksandra |
| contents | Let $C$ be a smooth projective curve of genus $g>0$. We describe an open locus of Bridgeland stability conditions on the bounded derived category of coherent systems on $C$, and show that stability manifold detects the Brill--Noether theory of the curve. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_01601 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Derived category of coherent systems on curves and stability conditions Feyzbakhsh, Soheyla Novik, Aliaksandra Algebraic Geometry 14H60, 14F05, 18E30 Let $C$ be a smooth projective curve of genus $g>0$. We describe an open locus of Bridgeland stability conditions on the bounded derived category of coherent systems on $C$, and show that stability manifold detects the Brill--Noether theory of the curve. |
| title | Derived category of coherent systems on curves and stability conditions |
| topic | Algebraic Geometry 14H60, 14F05, 18E30 |
| url | https://arxiv.org/abs/2511.01601 |