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arxiv: 0909.4287 · v2 · pith:VI3LQDR7new · submitted 2009-09-23 · 🧮 math.AT · math.KT

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

classification 🧮 math.AT math.KT
keywords abelianalgebraicaxescomputecoordinatedegreesfinitefree
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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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