A compactification of open varieties

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In this paper we prove a general method to compactify certain open varieties by adding normal crossing divisors. This is done by showing that blowing up along an arrangement of subvarieties can be carried out. Important examples such as Ulyanov's configuration spaces and complements of arrangements of linear subspaces in projective spaces, etc., are covered. Intersection ring and (nonrecursive) Hodge polynomials are computed. Furthermore, some general structures arising from the blowup process are also described and studied.

Original languageEnglish (US)
Pages (from-to)4737-4753
Number of pages17
JournalTransactions of the American Mathematical Society
Issue number12
StatePublished - Dec 1 2003


ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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