Brill-Noether loci in codimension two
Algebraic Geometry
2013-02-21 v2
Abstract
Let us consider the locus in the moduli space of curves of genus 2k defined by curves with a pencil of degree k. Since the Brill-Noether number is equal to -2, such a locus has codimension two. Using the method of test surfaces, we compute the class of its closure in the moduli space of stable curves.
Keywords
Cite
@article{arxiv.1201.4948,
title = {Brill-Noether loci in codimension two},
author = {Nicola Tarasca},
journal= {arXiv preprint arXiv:1201.4948},
year = {2013}
}
Comments
v2: new section 7, the main Theorem is now proved for ALL k>=3. Final version to appear in Compositio Mathematica. This version is slightly different