Abstract
We prove the following: (1) if X is ordinary, the Fulton-MacPherson configuration space X[n] is ordinary for all n; (2) the moduli of stable n-pointed curves of genus zero is ordinary. (3) More generally we show that a wonderful compactification XG is ordinary if and only if (X, G) is an ordinary building set. This implies the ordinarity of many other well-known configuration spaces (under suitable assumptions).
Original language | English (US) |
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Pages (from-to) | 669-676 |
Number of pages | 8 |
Journal | Documenta Mathematica |
Volume | 16 |
DOIs | |
State | Published - 2011 |
Keywords
- configuration spaces
- moduli of n-pointed
- ordinarity
- Ordinary varieties
- stable curves of genus zero
- wonderful compactification
ASJC Scopus subject areas
- General Mathematics