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On the K-Theory of the Coordinate Axes in the Plane

Published online by Cambridge University Press:  11 January 2016

Lars Hesselholt
Lars Hesselholt*
Affiliation:
Massachusetts Institute of Technology, Cambridge, Massachusetts, [email protected], Nagoya University, Nagoya, Japan, [email protected]
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Abstract

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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.

Keywords

19G5019G5511G20
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 185 , 2007 , pp. 93 - 109
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2007

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