Remarks on syzygies of $d$-gonal curves
Algebraic Geometry
2013-11-19 v3
Abstract
We apply a degenerate version of a result due to Hirschowitz, Ramanan and Voisin to verify Green and Green-Lazarsfeld conjectures over explicit open sets inside each -gonal stratum of curves with . By the same method, we verify the Green-Lazarsfeld conjecture for any curve of odd genus and maximal gonality. The proof invokes Voisin's solution to the generic Green conjecture as a key argument.
Cite
@article{arxiv.math/0412134,
title = {Remarks on syzygies of $d$-gonal curves},
author = {Marian Aprodu},
journal= {arXiv preprint arXiv:math/0412134},
year = {2013}
}
Comments
final version to appear in Math. Res. Lett