On the vanishing of higher syzygies of curves

@inproceedings{Aprodu2001OnTV,
  title={On the vanishing of higher syzygies of curves},
  author={Marian Aprodu},
  year={2001}
}
  • Marian Aprodu
  • Published 2001
One of the remarkable results of Segre’s, quoted in [AC] as Theorem 0.2, states that generic k-gonal curves have distinguished nodal models lying on the Hirzebruch surface Σ1, in such a way that minimal pencils are given by the ruling. Since there exist several results relating Koszul cohomology of a surface to the Koszul cohomology of curves which lie on it, it seems natural to make use of this very geometric context to verify some cases of Green’s conjecture. As exemplified by the main result… CONTINUE READING
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