On the geometry of toric arrangements

Details On the geometry of toric arrangements On the geometry of toric arrangements

2005-05-17

arxiv.org/abs/math/0505351v4

Mathematics

Algebraic Geometry

Scientific paper

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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