# 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.

## 25 Citations

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