A Salvetti complex for toric arrangements and its fundamental group (Q2909345)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: A Salvetti complex for toric arrangements and its fundamental group |
scientific article; zbMATH DE number 6074148
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A Salvetti complex for toric arrangements and its fundamental group |
scientific article; zbMATH DE number 6074148 |
Statements
30 August 2012
0 references
toric arrangements
0 references
Salvetti complex
0 references
fundamental groups
0 references
acyclic categories
0 references
A Salvetti complex for toric arrangements and its fundamental group (English)
0 references
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.
0 references
