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

Abstract

Let k be 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) in terms of the groups of big de Rham-Witt forms of the ring k. The result generalizes previous results for K_1 and K_2 by Dennis and Krusemeyer.

References in corpus (3)

• The obstruction to excision in K-theory and in cyclic homology
• Equivariant Universal Coefficient and Kunneth Spectral Sequences
• Bi-relative algebraic K-theory and topological cyclic homology

Cited by in corpus (8)

• Pairs of mutually annihilating operators
• On the relative and bi-relative K-theory of rings of finite characteristic
• On The Algebraic $K$-Theory of Double Points
• On the algebraic K-theory of the coordinate axes over the integers
• The R(S^1)-graded equivariant homotopy of THH(F_p)
• A slice refinement of Bökstedt periodicity
• On the K-theory of coordinate axes in affine space
• Picard groups and the K-theory of curves with cuspidal singularities