5 papers · 1 filter
Cohomology Rings of Toric Wonderful Model
Lorenzo Giordani, Roberto Pagaria, Viola Siconolfi
We describe the cohomology ring of toric wonderful models for arbitrary building set, including the case of non well-connected ones. Our techniques are based on blowups of posets,…
The cohomology rings of the unordered configuration spaces of the torus
Roberto Pagaria
We study the cohomology ring of the configuration space of unordered points in the two dimensional torus. In particular, we compute the mixed Hodge structure on the cohomology, the…
Poincaré polynomial of elliptic arrangements is not a specialization of the Tutte polynomial
Roberto Pagaria
The Poincaré polynomial of the complement of an arrangements in a non compact group is a specialization of the -Tutte polynomial associated with the arrangement. In this article…
Orlik-Solomon-type presentations for the cohomology algebra of toric arrangements
Filippo Callegaro, Michele D'Adderio, Emanuele Delucchi +2
We give an explicit presentation for the integral cohomology ring of the complement of any arrangement of level sets of characters in a complex torus (alias "toric arrangement"). O…
The connection between combinatorics and cohomology of elliptic arrangements
Roberto Pagaria
We prove that the cohomology algebra of elliptic arrangements depends only on the poset of layers. In the particular case of braid elliptic arrangements, we study the cohomology as…