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Nagoya Mathematical Journal (1)

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On the K-Theory of the Coordinate Axes in the Plane
Lars Hesselholt
Journal:

Nagoya Mathematical Journal / Volume 185 / 2007

Published online by Cambridge University Press:

11 January 2016, pp. 93-109

Print publication:

2007
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Let k a regular noetherian p-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) completely in terms of the big de Rham-Witt groups of k. This generalizes a formula for K1(A, I) and K2(A, I) by Dennis and Krusemeyer.