The generic Green–Lazarsfeld Secant Conjecture

@article{Farkas2014TheGG,
  title={The generic Green–Lazarsfeld Secant Conjecture},
  author={Gavril Farkas and Michael Kemeny},
  journal={Inventiones mathematicae},
  year={2014},
  volume={203},
  pages={265-301}
}
Using lattice theory on special $$K3$$K3 surfaces, calculations on moduli stacks of pointed curves and Voisin’s proof of Green’s Conjecture on syzygies of canonical curves, we prove the Prym–Green Conjecture on the naturality of the resolution of a general Prym-canonical curve of odd genus, as well as (many cases of) the Green–Lazarsfeld Secant Conjecture on syzygies of non-special line bundles on general curves. 
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