Stability conditions on Calabi-Yau threefolds via Brill-Noether theory of curves
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866915687772979200 |
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| author | Feyzbakhsh, Soheyla Koseki, Naoki Liu, Zhiyu Rekuski, Nick |
| author_facet | Feyzbakhsh, Soheyla Koseki, Naoki Liu, Zhiyu Rekuski, Nick |
| contents | Fix a polarised Calabi-Yau threefold $(X,H)$. We reduce a version of the Bayer-Macrì-Toda conjecture for $(X,H)$, which ensures the existence of Bridgeland stability conditions on $X$, to verifying a Brill-Noether-type inequality for curves on $X$. We then prove this inequality for a broad class of Calabi-Yau threefolds, including complete intersection Calabi-Yau threefolds in weighted projective spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_24990 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Stability conditions on Calabi-Yau threefolds via Brill-Noether theory of curves Feyzbakhsh, Soheyla Koseki, Naoki Liu, Zhiyu Rekuski, Nick Algebraic Geometry Fix a polarised Calabi-Yau threefold $(X,H)$. We reduce a version of the Bayer-Macrì-Toda conjecture for $(X,H)$, which ensures the existence of Bridgeland stability conditions on $X$, to verifying a Brill-Noether-type inequality for curves on $X$. We then prove this inequality for a broad class of Calabi-Yau threefolds, including complete intersection Calabi-Yau threefolds in weighted projective spaces. |
| title | Stability conditions on Calabi-Yau threefolds via Brill-Noether theory of curves |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2509.24990 |