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Green-Lazarsfeld's Conjecture for Generic Curves of Large Gonality

Algebraic Geometry 2013-11-19 v1 Commutative Algebra

Abstract

We use Green's canonical syzygy conjecture for generic curves to prove that the Green-Lazarsfeld gonality conjecture holds for generic curves of genus g, and gonality d, if g/3<d<[g/2]+2g/3<d<[g/2]+2.

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Cite

@article{arxiv.math/0301261,
  title  = {Green-Lazarsfeld's Conjecture for Generic Curves of Large Gonality},
  author = {Marian Aprodu and Claire Voisin},
  journal= {arXiv preprint arXiv:math/0301261},
  year   = {2013}
}

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5 pages