Brill-Noether geometry on moduli spaces of spin curves
Algebraic Geometry
2010-05-07 v1
Abstract
We develop a theory of Brill-Noether divisors on the moduli space of stable spin curves of genus g, and compute the classes of these loci. A spin Brill-Noether cycle is defined in terms of the relative position of the spin structure with respect to certain Raynaud theta-divisors in the Jacobian of the curve.
Keywords
Cite
@article{arxiv.1005.0933,
title = {Brill-Noether geometry on moduli spaces of spin curves},
author = {Gavril Farkas},
journal= {arXiv preprint arXiv:1005.0933},
year = {2010}
}
Comments
15 pages. To appear in "Classification of algebraic varieties", Schiermonnikoog 2009, (Faber, van der Geer, Looijenga-Editors)