Abstract:
We study diagonal arrangement complements $D(\mathcal{K})$ in $\mathbb{C}^m$. We consider the class of simplicial complexes $\mathcal{K}$ in which every two missing faces have a common vertex, and we prove that the coordinate arrangement complement $U(\mathcal{K})$ is the double suspension of the diagonal arrangement complement $D(\mathcal{K})$. In the case of subspace arrangements in $\mathbb{R}^m$ the coordinate arrangement complement $U_{\mathbb{R}}(\mathcal{K})$ is the single suspension of $D_{\mathbb{R}}(\mathcal{K})$.
Bibliography: 17 titles.
Keywords:arrangements of diagonal subspaces, arrangements of coordinate subspaces, toric topology, Golod complexes.
Fulltext:
PDF file (676 kB)
First page:
PDF file
