Geodesic
Ordinarity of configuration spaces and of wonderful compactifications
Documenta mathematica, Tome 16 (2011), pp. 669-676.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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 $X_\sg$ is ordinary if and only if $(X,\sg)$ is an ordinary building set. This implies the ordinarity of many other well-known configuration spaces (under suitable assumptions).
Classification : 14G17, 14J99
Keywords: ordinary varieties, ordinarity, configuration spaces, wonderful compactification, moduli of n-pointed, stable curves of genus zero 
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     author = {Joshi, Kirti},
     title = {Ordinarity of configuration spaces and of wonderful compactifications},
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     url = {http://geodesic.mathdoc.fr/item/DOCMA_2011__16__a11/}
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Joshi, Kirti. Ordinarity of configuration spaces and of wonderful compactifications. Documenta mathematica, Tome 16 (2011), pp. 669-676. http://geodesic.mathdoc.fr/item/DOCMA_2011__16__a11/