A Salvetti complex for Toric Arrangements and its fundamental group

Details A Salvetti complex for Toric Arrangements and its fundamental group A Salvetti complex for Toric Arrangements and its fundamental group

2011-01-21

arxiv.org/abs/1101.4111v2

Mathematics

Combinatorics

31 pages, 2/3 figures added, Section 4 updated to address a flaw pointed out by Prof. Salvetti, whom we thank

Scientific paper

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.

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