The minimal resolution property for points on general curves
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866911755430526976 |
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| author | Farkas, Gavril Larson, Eric |
| author_facet | Farkas, Gavril Larson, Eric |
| contents | We present an essentially complete solution to the Minimal Resolution Conjecture for general curves, determining the shape of the minimal resolution of general sets of points on a general curve C of degree d>2r-1 in P^r. Our methods also provide a proof (valid in arbitrary characteristic) of the strong version of Butler's Conjecture on the stability of syzygy bundles on a general curve of every genus at least 3, as well as of the Frobenius semistability in positive characteristic of the syzygy bundle of a general curve in the range d>2r-1. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_11308 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | The minimal resolution property for points on general curves Farkas, Gavril Larson, Eric Algebraic Geometry Commutative Algebra We present an essentially complete solution to the Minimal Resolution Conjecture for general curves, determining the shape of the minimal resolution of general sets of points on a general curve C of degree d>2r-1 in P^r. Our methods also provide a proof (valid in arbitrary characteristic) of the strong version of Butler's Conjecture on the stability of syzygy bundles on a general curve of every genus at least 3, as well as of the Frobenius semistability in positive characteristic of the syzygy bundle of a general curve in the range d>2r-1. |
| title | The minimal resolution property for points on general curves |
| topic | Algebraic Geometry Commutative Algebra |
| url | https://arxiv.org/abs/2209.11308 |