The homotopy type of the complement of a coordinate subspace arrangement

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The homotopy type of the complement of a complex coordinate subspace arrangement is studied by fathoming out the connection between its topological and combinatorial structures. A family of arrangements for which the complement is homotopy equivalent to a wedge of spheres is described. One consequence is an application in commutative algebra: certain local rings are proved to be Golod, that is, all Massey products in their homology vanish.
42 pages

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Algebraic Topology, Commutative Algebra, Combinatorics, 13F55, 55P15

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http://salesiana.dossiersoluciones.com/handle/123456789/107517

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0601279
 http://arxiv.org/abs/math/0601279

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arXiv