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Homotopy type of the complement of a configuration of coordinate subspaces of codimension two. (English. Russian original) Zbl 1072.55014

Russ. Math. Surv. 59, No. 6, 1207-1209 (2004); translation from Usp. Mat. Nauk 59, No. 6, 203-204 (2004).
The authors’ main theorem is: Theorem 1. The complement of any coordinate subspace arrangement of codimension two in \(\mathbb{C}^n\) has the homotopy type of the wedge of spheres \[ \bigvee^n_{k=2}(k-1) {n\choose k}S^{k+1}. \]

MSC:

55R80 Discriminantal varieties and configuration spaces in algebraic topology
55P15 Classification of homotopy type
52C35 Arrangements of points, flats, hyperplanes (aspects of discrete geometry)
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