A Salvetti Complex for Toric Arrangements and its Fundamental Group

D'Antonio, Giacomo and Delucchi, Emanuele (2011) A Salvetti Complex for Toric Arrangements and its Fundamental Group. International Mathematics Research Notices, 2012 (15). pp. 3535-3566. ISSN 1073-7928

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Abstract

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 study its fundamental group and compute a presentation thereof.

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