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The homotopy type of the complement of the codimension-two coordinate subspace arrangement

By Jelena Grbić and Stephen Theriault


A complex coordinate subspace of C n is given by Lσ = {(z1,..., zn) ∈ C n | zi1 = · · · = zi k = 0} where σ = {i1,..., ik} is a subset of [m]. For each simplicial complex K on the set [m] we associate the complex coordinate subspace arrangement CA(K) = {Lσ | σ ̸ ∈ K} and its complement U(K)

Year: 2012
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