There are no exotic compact moduli of sheaves on a curve
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866909580158566400 |
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| author | Herrero, Andres Fernandez Weissmann, Dario Zhang, Xucheng |
| author_facet | Herrero, Andres Fernandez Weissmann, Dario Zhang, Xucheng |
| contents | We study moduli of coherent sheaves of some given degree and positive rank on a curve. We show that there is only one nonempty open condition on families of sheaves that yields a universally closed adequate moduli space, namely, the one that recovers the classical moduli of slope semistable vector bundles. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_11155 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | There are no exotic compact moduli of sheaves on a curve Herrero, Andres Fernandez Weissmann, Dario Zhang, Xucheng Algebraic Geometry 14D20 (Primary) 14H60, 14D23 (Secondary) We study moduli of coherent sheaves of some given degree and positive rank on a curve. We show that there is only one nonempty open condition on families of sheaves that yields a universally closed adequate moduli space, namely, the one that recovers the classical moduli of slope semistable vector bundles. |
| title | There are no exotic compact moduli of sheaves on a curve |
| topic | Algebraic Geometry 14D20 (Primary) 14H60, 14D23 (Secondary) |
| url | https://arxiv.org/abs/2504.11155 |