Ordinarity of Configuration Spaces and of Wonderful Compactifications

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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 languageEnglish (US)
Pages (from-to)669-676
Number of pages8
JournalDocumenta Mathematica
Volume16
DOIs
StatePublished - 2011

Keywords

  • configuration spaces
  • moduli of n-pointed
  • ordinarity
  • Ordinary varieties
  • stable curves of genus zero
  • wonderful compactification

ASJC Scopus subject areas

  • General Mathematics

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