Mori's program for Mˉ0,7\bar{M}_{0,7} with symmetric divisors

preprint2014arXivOpen access

Abstract

We complete Mori's program with symmetric divisors for the moduli space of stable seven pointed rational curves. We describe all birational models in terms of explicit blow-ups and blow-downs. We also give a moduli theoretic description of the first flip, which have not appeared in literature.

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