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arxiv: 1101.4111 · v2 · pith:JLPBGKN3new · submitted 2011-01-21 · 🧮 math.CO · math.AT

A Salvetti complex for Toric Arrangements and its fundamental group

classification 🧮 math.CO math.AT
keywords toricarrangementsfundamentalgroupacyclicarrangementcategoriescombinatorial
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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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