Abstract
We relate the negative $K$-theory of a normal surface to a resolution of singularities. The only nonzero $K$-groups are $K\sb {-2}$, which counts loops in the exceptional fiber, and $K\sb {-1}$, which is related to the divisor class groups of the complete local rings at the singularities. We also verify two conjectures of Srinivas about $K\sb 0$-regularity and $K\sb {-1}$ of a surface.
Citation
Charles Weibel. "The negative K-theory of normal surfaces." Duke Math. J. 108 (1) 1 - 35, 15 May 2001. https://doi.org/10.1215/S0012-7094-01-10811-9
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