The birational type of the moduli space of even spin curves
Algebraic Geometry
2009-11-27 v2
Abstract
We determine the Kodaira dimension of the moduli space of even spin curves for all genera, with one possible exception: The scheme S_g has negative Kodaira dimension for g<8 and it is of general type for g>8. The Kodaira dimension of S_8 is non-negative.
Cite
@article{arxiv.0805.2424,
title = {The birational type of the moduli space of even spin curves},
author = {Gavril Farkas},
journal= {arXiv preprint arXiv:0805.2424},
year = {2009}
}
Comments
9 pages. Improved presentation, to appear in Advances in Mathematics