Email this article Connection between coordinate and diagonal arrangement complements
- Authors: Tril V.A.1,2
-
Affiliations:
- Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow, Russia
- Faculty of Computer Science, National Research University Higher School of Economics, Moscow, Russia
- Issue: Vol 216, No 11 (2025)
- Pages: 150-166
- Section: Articles
- URL: https://ogarev-online.ru/0368-8666/article/view/351339
- DOI: https://doi.org/10.4213/sm10222
- ID: 351339
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Abstract
We study diagonal arrangement complements $D(\mathcal K)$ in $\mathbb C^m$ . We consider the class of simplicial complexes $\mathcal K$ in which any 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 $D_{\mathbb R}(\mathcal K)$ .
About the authors
Vsevolod Arkadievich Tril
Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow, Russia; Faculty of Computer Science, National Research University Higher School of Economics, Moscow, Russia
Email: vsevolod.tril@math.msu.ru
ORCID iD: 0009-0004-6431-2211
without scientific degree, no status
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