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arXiv · 1311.7673

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

Ana-Maria Castravet·Jenia Tevelev
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Abstract

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.

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Ana-Maria Castravet, Jenia Tevelev. 2013-11-29. $\overline{M}_{0,n}$ is not a Mori Dream Space. https://doi.org/10.1215/00127094-3119846

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