Abstract
A ring A which is a homomorphic image of a regular local ring S is said to be a Roberts ring if τA/S([A]) = [Spec A]dim A, where τA/S is the Riemann-Roch map for Spec A. Such rings satisfy a vanishing theorem for intersection multiplicities, as was proved by P. Roberts. It is known that complete intersections are Roberts rings, and the first author showed that a determinantal ring is a Roberts ring precisely if it is a complete intersection. Let Ad(n) denote the affine cone of the Grassmann variety Gd(n) under the Plucker embedding. In this paper, we determine precisely when Ad(n) is a Roberts ring.
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