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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

A compactification of open varieties


Author: Yi Hu
Journal: Trans. Amer. Math. Soc. 355 (2003), 4737-4753
MSC (2000): Primary 14C05; Secondary 05C30, 14N20
Published electronically: July 24, 2003
MathSciNet review: 1997581
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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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Additional Information

Yi Hu
Affiliation: Department of Mathematics, University of Arizona, Tucson, Arizona 85721
Email: yhu@math.arizona.edu

DOI: http://dx.doi.org/10.1090/S0002-9947-03-03247-1
PII: S 0002-9947(03)03247-1
Received by editor(s): November 14, 2000
Published electronically: July 24, 2003
Article copyright: © Copyright 2003 American Mathematical Society