A Salvetti complex for toric arrangements and its fundamental group
type: Item
instance of: scholarly article
zbMATH Open document ID: 1254.52010
author: Giacomo D'Antonio
author: Emanuele Delucchi
publication date: 2012-08-30T00:00:00Z
full work available at URL: https://arxiv.org/abs/1101.4111
Mathematics Subject Classification ID: 52C35
Mathematics Subject Classification ID: 05E18
Mathematics Subject Classification ID: 55U10
Mathematics Subject Classification ID: 57M05
Mathematics Subject Classification ID: 14M25
zbMATH DE Number: 6074148
zbMATH Keywords: toric arrangements
zbMATH Keywords: Salvetti complex
zbMATH Keywords: fundamental groups
zbMATH Keywords: acyclic categories
MaRDI profile type: Publication
OpenAlex ID: W2964189671
arXiv ID: 1101.4111
DOI: 10.1093/IMRN/RNR161
published in: IMRN. International Mathematics Research Notices
title: A Salvetti complex for toric arrangements and its fundamental group
review text: 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.
reviewed by: Simona Settepanella
description: scientific article; zbMATH DE number 6074148