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arXiv · 2307.14157

Difference varieties and the Green-Lazarsfeld Secant Conjecture

Gavril Farkas
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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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Gavril Farkas. 2023-07-26. Difference varieties and the Green-Lazarsfeld Secant Conjecture. https://doi.org/10.46298/epiga.2024.11658

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