The moduli space of genus 4 even spin curves is rational

Details The moduli space of genus 4 even spin curves is rational The moduli space of genus 4 even spin curves is rational

2009-04-23

arxiv.org/abs/0904.3591v1

Mathematics

Algebraic Geometry

This is our third paper. This paper is new and the results were obtained as applications of the first and second papers

Scientific paper

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.

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