On the instability of syzygy bundles on toric surfaces
Fuente:
arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866910593278017536 |
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| author | Devey, Lucie Hering, Milena Jochemko, Katharina Süß, Hendrik |
| author_facet | Devey, Lucie Hering, Milena Jochemko, Katharina Süß, Hendrik |
| contents | We show that for every toric surface apart from the projective plane and a product of two projective lines and every ample line bundle there exists a polarisation such that the syzygy bundle associated to sufficiently high powers of the line bundle is not slope stable. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_04666 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the instability of syzygy bundles on toric surfaces Devey, Lucie Hering, Milena Jochemko, Katharina Süß, Hendrik Algebraic Geometry 14J60, 14M25, 14J26, 14D20 We show that for every toric surface apart from the projective plane and a product of two projective lines and every ample line bundle there exists a polarisation such that the syzygy bundle associated to sufficiently high powers of the line bundle is not slope stable. |
| title | On the instability of syzygy bundles on toric surfaces |
| topic | Algebraic Geometry 14J60, 14M25, 14J26, 14D20 |
| url | https://arxiv.org/abs/2409.04666 |