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.2024.11658
Difference varieties and the Green-Lazarsfeld Secant ConjectureArticle

Authors: Gavril Farkas

    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.


    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

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