Brill-Noether Loci and the Gonality Stratification of $M_g$
Algebraic Geometry
2007-05-23 v2
Abstract
A Brill-Noether locus is a subvariety of M_g consisting of curves having certain linear series g^r_d. We study the relative position of Brill-Noether loci with respect to the gonality stratification of M_g. We construct smooth curves in P^r of given degree and genus and having the `expected' gonality. As an application we give a new proof of our result about the Kodaira dimension of the moduli space of curves of genus 23.
Keywords
Cite
@article{arxiv.math/0007024,
title = {Brill-Noether Loci and the Gonality Stratification of $M_g$},
author = {Gavril Farkas},
journal= {arXiv preprint arXiv:math/0007024},
year = {2007}
}
Comments
14 pages, latex. Revised version as it will appear in Crelles Journal