A Salvetti complex for toric arrangements and its fundamental group
The authors describe a combinatorial model for the complement of a complexified toric arrangement. They construct an acyclic category that they call Salvetti category. They show that the nerve of this category is homotopy equivalent to the complement. This generalizes a work of Moci and Settepanella on thick toric arrangements. Moreover, they compute the fundamental group of this nerve by finding a (finite) presentation.
scientific article; zbMATH DE number 6074148