The second syzygy schemes of curves of large degree
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866909319111376896 |
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| author | Aprodu, Marian Bruno, Andrea Sernesi, Edoardo |
| author_facet | Aprodu, Marian Bruno, Andrea Sernesi, Edoardo |
| contents | The present paper is a natural continuation of a previous work where we studied the second syzygy scheme of canonical curves. We find sufficient conditions ensuring that the second syzygy scheme of a genus--$g$ curve of degree at least $2g+2$ coincide with the curve. If the property $(N_2)$ is satisfied, the equality is ensured by a more general fact. If $(N_2)$ fails, then the analysis uses the known case of canonical curves. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_11855 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The second syzygy schemes of curves of large degree Aprodu, Marian Bruno, Andrea Sernesi, Edoardo Algebraic Geometry The present paper is a natural continuation of a previous work where we studied the second syzygy scheme of canonical curves. We find sufficient conditions ensuring that the second syzygy scheme of a genus--$g$ curve of degree at least $2g+2$ coincide with the curve. If the property $(N_2)$ is satisfied, the equality is ensured by a more general fact. If $(N_2)$ fails, then the analysis uses the known case of canonical curves. |
| title | The second syzygy schemes of curves of large degree |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2409.11855 |