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A compactification of open varieties
Author(s):
Yi
Hu
Journal:
Trans. Amer. Math. Soc.
355
(2003),
4737-4753.
MSC (2000):
Primary 14C05;
Secondary 05C30, 14N20
Posted:
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.
References:
-
- 1.
- W. Fulton and R. MacPherson, A compactification of configuration spaces, Ann. of Math. 139 (1994), 183-225. MR 95j:14002
- 2.
- Y. Hu, Relative Geometric Invariant Theory and Universal Moduli Spaces, International Journal of Mathematics Vol. 7 No. 2 (1996), 151-181. MR 98i:14016
- 3.
- Y. Hu, Moduli spaces of stable polygons and symplectic structures on
 , Compositio Mathematicae 118 (1999), 159-187. MR 2000g:14018 - 4.
- S. Keel, Intersection theory of moduli spaces of stable pointed curves of genus zero, Transactions AMS. 330 (1992), 545-574. MR 92f:14003
- 5.
- F. Kirwan, Partial desingularization of quotients of nonsingular varieties and their Betti numbers, Annals of Math. 122 (1985), 41-85. MR 87a:14010
- 6.
- R. MacPherson and C. Procesi, Making conical compactifications wonderful, Selecta Math. (N.S.) 4 (1998), no. 1, 125-139. MR 2001b:32032
- 7.
- A. Ulyanov, A polydiagonal compactification of configuration spaces, J. Algebraic Geom. 11 (2002), 129-159. MR 2002j:14004
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Additional Information:
Yi
Hu
Affiliation:
Department of Mathematics, University of Arizona, Tucson, Arizona 85721
Email:
yhu@math.arizona.edu
DOI:
10.1090/S0002-9947-03-03247-1
PII:
S 0002-9947(03)03247-1
Received by editor(s):
November 14, 2000
Posted:
July 24, 2003
Copyright of article:
Copyright
2003,
American Mathematical Society
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