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arxiv: 1311.7673 · v3 · pith:HC6EXQTTnew · submitted 2013-11-29 · 🧮 math.AG

overline{M}_(0,n) is not a Mori Dream Space

classification 🧮 math.AG
keywords spacedreammorialgebrasanswersbuildingcurvesgoto
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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.

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