Vanishing of Top Equivariant Chern Classes of Regular Embeddings
نویسندگان
چکیده
Let G be a connected affine algebraic group and let X be a regular G-variety in the sense of [BDP] (recalled in Definition 2.2 below). The variety X contains an open orbit G/H whose complement D is a strictly normal crossing divisor in X. In this note we show the following vanishing result for rational equivariant Chern classes of the bundle of logarithmic differentials on the variety X: ci (Ω 1 X(logD)) = 0 for i > dim(X)− rk(G) + rk(H).
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