The moduli space of stable n-pointed genus zero curves is not a Mori
dream space when n is at least 13 -- Jose Gonzalez, December 4, 2015

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We prove that the moduli space of stable n-pointed genus zero curves
is not a Mori dream space when n is at least 13. We build on the work
of Ana-Maria Castravet and Jenia Tevelev who recently obtained the
same conclusion when n is at least 134. This talk is a report on joint
work with Kalle Karu.