On the algebraic K-theory of the coordinate axes over the integers
published by Vigleik Angeltveit
in 2009
and research's language is
English
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Abstract in English
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.