Geodesic
Difference varieties and the Green-Lazarsfeld Secant Conjecture
Épijournal de Géométrie Algébrique, Special volume in honour of Claire Voisin (2023)

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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.
DOI : 10.46298/epiga.2024.11658
Classification : 14H10, 14H60 
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     author = {Farkas, Gavril},
     title = {Difference varieties and the {Green-Lazarsfeld} {Secant} {Conjecture}},
     journal = {\'Epijournal de G\'eom\'etrie Alg\'ebrique},
     publisher = {mathdoc},
     year = {2023},
     doi = {10.46298/epiga.2024.11658},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/epiga.2024.11658/}
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Farkas, Gavril. Difference varieties and the Green-Lazarsfeld Secant Conjecture. Épijournal de Géométrie Algébrique, Special volume in honour of Claire Voisin (2023). doi: 10.46298/epiga.2024.11658

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