TY - JOUR
T1 - The negative K-theory of normal surfaces
AU - Weibel, Charles
PY - 2001
Y1 - 2001
N2 - 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.
AB - 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.
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U2 - 10.1215/S0012-7094-01-10811-9
DO - 10.1215/S0012-7094-01-10811-9
M3 - Article
AN - SCOPUS:11144286101
VL - 108
SP - 1
EP - 35
JO - Duke Mathematical Journal
JF - Duke Mathematical Journal
SN - 0012-7094
IS - 1
ER -