The Fulton-MacPherson compactification is not a Mori dream space

Published 18 Apr 2021 in math.AG | (2104.08752v1)

Abstract: We show that the Fulton-MacPherson compactification of the configuration space of $n$ distinct labeled points in certain varieties of arbitrary dimension $d$, including projective space, is not a Mori dream space for $n$ larger than $d+8$.

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