The negative K-theory of normal surfaces

Charles Weibel

doi:10.1215/S0012-7094-01-10811-9

The negative K-theory of normal surfaces

Charles Weibel

School of Arts and Sciences, Mathematics

Research output: Contribution to journal › Article

24 Scopus citations

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.

Original language	English (US)
Pages (from-to)	1-35
Number of pages	35
Journal	Duke Mathematical Journal
Volume	108
Issue number	1
DOIs	https://doi.org/10.1215/S0012-7094-01-10811-9
State	Published - Jan 1 2001

All Science Journal Classification (ASJC) codes

Mathematics(all)

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Weibel, C. (2001). The negative K-theory of normal surfaces. Duke Mathematical Journal, 108(1), 1-35. https://doi.org/10.1215/S0012-7094-01-10811-9

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