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The Fulton-MacPherson compactification is not a Mori dream space

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arxiv 2104.08752 v1 pith:WVRBRPF2 submitted 2021-04-18 math.AG

The Fulton-MacPherson compactification is not a Mori dream space

classification math.AG
keywords spacecompactificationdreamfulton-macphersonmoriarbitrarycertainconfiguration
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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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