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arXiv · 2104.08752

The Fulton-MacPherson compactification is not a Mori dream space

Patricio Gallardo·José Luis González·Evangelos Routis
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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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Patricio Gallardo, José Luis González, Evangelos Routis. 2021-04-18. The Fulton-MacPherson compactification is not a Mori dream space. https://arxiv.org/abs/2104.08752

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