Vsevolod Tril

collaborators

2 papers

math.AT2026

Permutohedral complex and complements of diagonal subspace arrangements

Taras Panov, Vsevolod Tril

The complement of an arrangement of diagonal subspaces $x_{i_{1}} = \dots = x_{i_{k}}$ in the real space is defined by a simplicial complex $K$ . In this paper, we prove that the compl…

math.AT2024

On the connection between coordinate and diagonal arrangement complements

Vsevolod Tril

We study diagonal arrangement complements $D (K)$ in $C^{m}$ . We consider the class of simplicial complexes $K$ in which any two missing faces have a common vertex, and prove…