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On the geometry of toric arrangements

C. De Concini·C. Procesi
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Abstract

We introduce toric arrangements, essentially finite families of codimension 1 subtori of a torus or of their cosets, as a periodic generalization of hyperplane arrangements, compute cohomology of the complement of such an arrangement and apply the theory to give a geometric interpretation of the formulas of Brion--Szenes--Vergne counting the number of integral points in polytopes.

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C. De Concini, C. Procesi. 2005-06-08. On the geometry of toric arrangements. https://arxiv.org/abs/math/0505351

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