Ordinarity of configuration spaces and of wonderful compactifications
Kirti Joshi
Math. department University of Arizona 617 N Santa Rita Tucson, 85721-0089 USA
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Abstract
We prove the following: (1) if is ordinary, the Fulton-MacPherson configuration space is ordinary for all ; (2) the moduli of stable -pointed curves of genus zero is ordinary. (3) More generally we show that a wonderful compactification is ordinary if and only if is an ordinary building set. This implies the ordinarity of many other well-known configuration spaces (under suitable assumptions).
Cite this article
Kirti Joshi, Ordinarity of configuration spaces and of wonderful compactifications. Doc. Math. 16 (2011), pp. 669–676
DOI 10.4171/DM/347