Green-Lazarsfeld's Gonality Conjecture for a Generic Curve of Odd Genus
Algebraic Geometry
2013-11-19 v2
Abstract
The gonality conjecture predicts that the gonality of a curve can be read off Koszul cohomology of line bundles of sufficiently large degree. We verify this conjecture for generic curves of odd genus. The even-genus case was previously solved in the joint work arXiv:math.AG/0301261.
Cite
@article{arxiv.math/0401394,
title = {Green-Lazarsfeld's Gonality Conjecture for a Generic Curve of Odd Genus},
author = {Marian Aprodu},
journal= {arXiv preprint arXiv:math/0401394},
year = {2013}
}
Comments
7 pages, no figures