Topology of real coordinate arrangements

نویسنده

  • Sangwook Kim
چکیده

We prove that if a simplicial complex ∆ is (nonpure) shellable, then the intersection lattice for the corresponding real coordinate subspace arrangement A∆ is homotopy equivalent to the link of the intersection of all facets of ∆. As a consequence, we show that the singularity link of A∆ is homotopy equivalent to a wedge of spheres. We also show that the complement of A∆ is homotopy equivalent to a wedge of spheres when ∆ is pure and shellable.

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تاریخ انتشار 2009