2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/75216We 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.Algebraic GeometryCombinatoricstext