| The Minimal Model Program has been successfully carried out for the moduli space of curves in low genus, giving beautiful modular interpretations for the new models. In this spirit, we worked out the Minimal Model Program for the even spin moduli space of genus 2. In particular, one of the log canonical models corresponds to the GIT compactification, which is related to the moduli space of triple coverings of a genus 2 curve via the Prym map. I will explain this construction and how the Prym map can be extended to a map from a partial compactification of the moduli space of triple coverings to the GIT compactification of the moduli space of even spin curves of genus 2. This is joint work with Herbert Lange. |