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Piecewise polynomial functions, convex polytopes and enumerative geometry

Piecewise polynomial functions, convex polytopes and enumerative geometry

This paper explores some of the connections between the objects of its title.It is based on a new approach to McMullen's polytope algebra, and on its relation with equivariant cohomology of toric varieties.In particular, we give another proof of a recent result of Fulton and Sturmfels, which identifies the polytope …