The moduli space of genus 4 even spin curves is rational
arXiv:0904.3591
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.
This is our third paper. This paper is new and the results were obtained as applications of the first and second papers