On the K-theory of the coordinate axes in the plane
Lars Hesselholt
Abstract
Let k be a regular Fp-algebra, let A = k[x,y]/(xy) be the coordinate ring of the coordinate axes in the affine k-plane, and let I = (x,y) be the ideal that defines the intersection point. We evaluate the relative K-groups Kq(A,I) in terms of the groups of big de Rham-Witt forms of the ring k. The result generalizes previous results for K1 and K2 by Dennis and Krusemeyer.
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