Difference varieties and the Green-Lazarsfeld Secant Conjecture

2023/07/26 by Gavril Farkas · 1 citation
Computer Science · Mathematics · #math.AG #math.AC

paper · pdf · doi:10.46298/epiga.2024.11658

Abstract

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.

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• Secant loci on moduli of Prym varieties

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