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math.CO2006
Combinatorial remarks on a classical theorem of Deligne
Emanuele Delucchi
We examine Deligne's classical proof of the asphericity of simplicial arrangements from the viewpoint of the combinatorics of the poset of regions of the arrangement. This turns ou…
math.CO2006★ 2 cited
Nested set complexes of Dowling lattices and complexes of Dowling trees
Emanuele Delucchi
Given a finite group G and a natural number n, we study the structure of the complex of nested sets of the associated Dowling lattice Q(G) and of its subposet of the G-symmetric pa…
math.CO2006
Simplicial shellable spheres via combinatorial blowups
Sonja Lj. Cukic, Emanuele Delucchi
The construction of the Bier sphere Bier(K) for a simplicial complex K is due to Bier. Björner, Paffenholz, Sjöstrand and Ziegler generalize this construction to obtain a Bier pose…