### On the K-theory of the coordinate axes in the plane

Let k a regular **F**_{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 K_{q}(A,I) completely in terms
of the groups of big de Rham-Witt forms of k. This generalizes a
formula for K_{1} and K_{2} by Dennis and Krusemeyer.

Lars Hesselholt
<larsh@math.nagoya-u.ac.jp>