A compactification of open varieties |
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Authors: | Yi Hu |
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Institution: | Department of Mathematics, University of Arizona, Tucson, Arizona 85721 |
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Abstract: | 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. |
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