The moduli space of genus 4 even spin curves is rational
Algebraic Geometry
2009-04-24 v1
Abstract
By the technique of 3-fold Mori theory, we prove that the moduli space whose general point parameterizes a couple of a smooth curve of genus 4 and a halfcanonical divisor with vanishing global section is rational.
Cite
@article{arxiv.0904.3591,
title = {The moduli space of genus 4 even spin curves is rational},
author = {Hiromichi Takagi and Francesco Zucconi},
journal= {arXiv preprint arXiv:0904.3591},
year = {2009}
}
Comments
This is our third paper. This paper is new and the results were obtained as applications of the first and second papers