On the algebraic K-theory of the coordinate axes over the integers

Details On the algebraic K-theory of the coordinate axes over the integers On the algebraic K-theory of the coordinate axes over the integers

2009-09-23

arxiv.org/abs/0909.4287v2

Mathematics

Algebraic Topology

Final version, to appear in Homology, Homotopy and Applications

Scientific paper

We show that K_{2i}(Z[x,y]/(xy),(x,y)) is free abelian of rank 1 and that
K_{2i+1}(Z[x,y]/(xy),(x,y)) is finite of order (i!)^2. We also compute
K_{2i+1}(Z[x,y]/(xy),(x,y)) in low degrees.

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