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

Lars Hesselholt
2007 Nagoya mathematical journal  
AbstractLetka regular noetherianp-algebra, letA=k[x, y]/(xy) be the coordinate ring of the coordinate axes in the affinek-plane, and letI= (x,y) be the ideal that defines the intersection point. We evaluate the relativeK-groupsKq(A, I) completely in terms of the big de Rham-Witt groups ofk. This generalizes a formula forK1(A, I) andK2(A, I) by Dennis and Krusemeyer.
doi:10.1017/s0027763000025757 fatcat:hibsjhdpifeflmvp2i2iclaexa