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Zbl 1068.32020
Gaiffi, Giovanni
Models for real subspace arrangements and stratified manifolds. (English)
[J] Int. Math. Res. Not. 2003, No. 12, 627-656 (2003). ISSN 1073-7928; ISSN 1687-0247/e

Consider a central plane arrangement in a vector space and let $M$ denote its complement. In the first part of the paper, the author constructs certain compactifications of $M/\Bbb{R}^+$ by embedding it in products of spheres. He shows that these compactifications are manifolds with corners and describes their boundaries. In the second part of the paper, the author describes a generalization of the previous procedure in terms of a sequence of blowups of stratified manifolds along strata.\par This part of the paper is a real version of a procedure described in [{\it R. MacPherson} and {\it C. Procesi}, Sel. Math., New Ser. 4, No. 1, 125--139 (1998; Zbl 0934.32014)].
[Pedro Ferreira dos Santos (Lisboa)]

MSC 2000:: *32S22 Relations with arrangements of hyperplanes
58A35 Stratified sets (global analysis)

Keywords: arrangements; stratified sets

Citations: Zbl 0934.32014

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