Green–Lazarsfeld conjecture on syzygies of line bundles

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The Green–Lazarsfeld conjecture on syzygies of line bundles is a central statement in algebraic geometry predicting precise patterns in the minimal free resolutions of line bundles on algebraic curves, linking these syzygies to geometric properties such as gonality.

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Green’s conjecture relatedConjecture Green–Lazarsfeld conjecture on syzygies of line bundles
Petri’s theorem hasGeneralization Green–Lazarsfeld results on syzygies
linked to: Green–Lazarsfeld conjecture on syzygies of line bundles