Geodesic
Ordinarity of configuration spaces and of wonderful compactifications
Documenta mathematica, Tome 16 (2011), pp. 669-676
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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).
DOI : 10.4171/dm/347
Classification : 14G17, 14J99
Mots-clés : ordinary varieties, ordinarity, configuration spaces, wonderful compactification, moduli of n-pointed, stable curves of genus zero 
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     author = {Kirti Joshi},
     title = {Ordinarity of configuration spaces and of wonderful compactifications},
     journal = {Documenta mathematica},
     pages = {669--676},
     year = {2011},
     volume = {16},
     doi = {10.4171/dm/347},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/347/}
}
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Kirti Joshi. Ordinarity of configuration spaces and of wonderful compactifications. Documenta mathematica, Tome 16 (2011), pp. 669-676. doi: 10.4171/dm/347

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