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Gavril Farkas - Difference varieties and the Green-Lazarsfeld Secant Conjecture
epiga:11658 - Épijournal de Géométrie Algébrique, June 18, 2024, Special volume in honour of Claire Voisin - https://doi.org/10.46298/epiga.2024.11658Difference varieties and the Green-Lazarsfeld Secant ConjectureArticle
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.
Comment: 12 pages. Final version, to appear in the Epiga volume dedicated to Claire Voisin
Source: arXiv.org:2307.14157
Volume: Special volume in honour of Claire Voisin
Published on: June 18, 2024
Accepted on: December 21, 2023
Submitted on: July 27, 2023
Keywords: Mathematics - Algebraic Geometry, Mathematics - Commutative Algebra
Funding:
- Source : OpenAIRE Graph
- Syzygies, moduli and topological invariants of groups; Funder: European Commission; Code: 834172
Classifications
Mathematics Subject Classification 20201
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