Link complexes of subspace arrangements
| dc.creator | Hultman, Axel | |
| dc.date | 2005-07-15 | |
| dc.date | 2005-09-02 | |
| dc.date.accessioned | 2026-07-07T05:21:44Z | |
| dc.date.available | 2026-07-07T05:21:44Z | |
| dc.description | Given a simplicial hyperplane arrangement H and a subspace arrangement A embedded in H, we define a simplicial complex Delta_{A,H} as the subdivision of the link of A induced by H. In particular, this generalizes Steingrimsson's coloring complex of a graph. We do the following: (1) When A is a hyperplane arrangement, Delta_{A,H} is shown to be shellable. As a special case, we answer affirmatively a question of Steingrimsson on coloring complexes. (2) For H being a Coxeter arrangement of type A or B we obtain a close connection between the Hilbert series of the Stanley-Reisner ring of Delta_{A,H} and the characteristic polynomial of A. This extends results of Steingrimsson and provides an interpretation of chromatic polynomials of hypergraphs and signed graphs in terms of Hilbert polynomials. | |
| dc.description | 10 pages; updated reference for Theorem 4.1 (thanks to E. Delucchi) | |
| dc.identifier | https://arxiv.org/abs/math/0507314 | |
| dc.identifier | http://arxiv.org/abs/math/0507314 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75795 | |
| dc.subject | Combinatorics | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13F55, 14N20 | |
| dc.title | Link complexes of subspace arrangements | |
| dc.type | text |