Abstract
Let X P be a smooth projective toric variety of dimension n embedded in P r using all of the lattice points of the polytope P . We compute the dimension and degree of the secant variety Sec X P . We also give explicit formulas in dimensions 2 and 3 and obtain partial results for the projective varieties X A embedded using a set of lattice points A ⊂ P ∩ Z n containing the vertices of P and their nearest neighbors.
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