$\overline{M}_{0,n}$ is not a Mori Dream Space

By Ana-Maria Castravet, Jenia Tevelev. 2013

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Building on the work of Goto, Nishida and Watanabe on symbolic Rees algebras of monomial primes, we prove that the moduli space of stable rational curves with n punctures is not a Mori Dream Space for n>133. This answers the question of Hu and Keel.

Subfields: Algebra and Number Theory, Computational Theory and Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/ffc4c631659e91909ac813725c40c9928bac9646