Chow Motive of Fulton-MacPherson configuration spaces and wonderful compactifications

Li Li

Chow Motive of Fulton-MacPherson configuration spaces and wonderful compactifications

Algebraic Geometry 2019-11-01 v2

Authors: Li Li

Abstract

We study the Chow groups and the Chow motives of the wonderful compactifications $Y_{\mathcal{G}}$ of arrangements of subvarieties. We prove a natural decomposition of the Chow motive of $Y_\mathcal{G}$ , in particular of the Fulton-MacPherson configuration space $X[n]$ . As a consequence, we prove a decomposition of the Chow motive of $X[n]/\frak{S}_n$ . A generating function for the Chow groups and for the Chow motive of $X[n]$ is given.

Keywords

chow motive wonderful compactification arrangements of subvarieties fulton-macpherson configuration space chow groups generating function

Cite

@article{arxiv.math/0611459,
  title  = {Chow Motive of Fulton-MacPherson configuration spaces and wonderful compactifications},
  author = {Li Li},
  journal= {arXiv preprint arXiv:math/0611459},
  year   = {2019}
}

Comments

36 pages, presentation is improved, to appear in the Michigan Mathematical Journal

Chow Motive of Fulton-MacPherson configuration spaces and wonderful compactifications

Abstract

Keywords

Cite

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