English

The Fulton-MacPherson compactification is not a Mori dream space

Algebraic Geometry 2021-04-20 v1

Abstract

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

Cite

@article{arxiv.2104.08752,
  title  = {The Fulton-MacPherson compactification is not a Mori dream space},
  author = {Patricio Gallardo and José Luis González and Evangelos Routis},
  journal= {arXiv preprint arXiv:2104.08752},
  year   = {2021}
}

Comments

17 pages

R2 v1 2026-06-24T01:17:27.193Z