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arXiv:1101.4111 [math.CO]AbstractReferencesReviewsResources

A Salvetti complex for Toric Arrangements and its fundamental group

Giacomo d'Antonio, Emanuele Delucchi

Published 2011-01-21, updated 2011-02-21Version 2

We describe a combinatorial model for the complement of a complexified toric arrangement by using nerves of acyclic categories. This generalizes recent work of Moci and Settepanella on thick toric arrangements. Moreover, we compute its fundamental group by finding a (finite) presentation.

Comments: 31 pages, 2/3 figures added, Section 4 updated to address a flaw pointed out by Prof. Salvetti, whom we thank
Categories: math.CO, math.AT
Subjects: 52C35, 05E18, 55U10, 57M05
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