Let X be a complete nonsingular toric variety. In this lecture, we will descibe H∗ TX. First we recall some basic notions about toric varieties. Let T be an n-dimensional torus with character group M , and let N = HomZ(M,Z) be the dual lattice. Then X = X(Σ), for a complete nonsingular fan Σ. That is, Σ is a collection of cones σ in NR = N ⊗ZR such that two… (More)