Translator Disclaimer
15 May 2001 The negative K-theory of normal surfaces
Charles Weibel
Duke Math. J. 108(1): 1-35 (15 May 2001). DOI: 10.1215/S0012-7094-01-10811-9

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

Download 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

Information

Published: 15 May 2001
First available in Project Euclid: 5 August 2004

zbMATH: 1092.14014
MathSciNet: MR1831819
Digital Object Identifier: 10.1215/S0012-7094-01-10811-9

Subjects:
Primary: 14C35
Secondary: 13C20 , 19E08

Rights: Copyright © 2001 Duke University Press

JOURNAL ARTICLE
35 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.108 • No. 1 • 15 May 2001
Back to Top