Difference varieties and the Green-Lazarsfeld Secant Conjecture
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866913162814554112 |
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| author | Farkas, Gavril |
| author_facet | Farkas, Gavril |
| contents | The Green-Lazarsfeld Secant Conjecture is a generalization of Green's Conjecture on syzygies of canonical curves to the cases of arbitrary line bundles. We establish the Green-Lazarsfeld Secant Conjecture for curves of genus g in all the divisorial case, that is, when the line bundles that fail to be (p+1)-very ample form a divisor in the Jacobian of the curve. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_14157 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Difference varieties and the Green-Lazarsfeld Secant Conjecture Farkas, Gavril Algebraic Geometry Commutative Algebra The Green-Lazarsfeld Secant Conjecture is a generalization of Green's Conjecture on syzygies of canonical curves to the cases of arbitrary line bundles. We establish the Green-Lazarsfeld Secant Conjecture for curves of genus g in all the divisorial case, that is, when the line bundles that fail to be (p+1)-very ample form a divisor in the Jacobian of the curve. |
| title | Difference varieties and the Green-Lazarsfeld Secant Conjecture |
| topic | Algebraic Geometry Commutative Algebra |
| url | https://arxiv.org/abs/2307.14157 |