Pryms of non-cyclic triple coverings and log canonical models of the spin moduli space of genus 2

Abstract

We show that the moduli spaces of non-triple cyclic coverings of genus 2 curves and that of even spin curves of genus 2 are birationally isomorphic via the Prym map. We describe the log canonical models of the moduli space of even spin curves of genus 2 and use this to extend the above birational map.

24 pages, 1 figure

References in corpus (1)

• Invariants of Binary Forms

Cited by in corpus (1)

• Mori's program for ${\bar{M}}_{0,7}$ with symmetric divisors