A Quillen-type spectral sequence for the K-theory of varieties with isolated singularities
type: Item
instance of: scholarly article
title: A Quillen-type spectral sequence for the K-theory of varieties with isolated singularities
zbMATH Open document ID: 0714.14007
DOI: 10.1007/BF00533372
author: C. Weibel
published in: \(K\)-Theory
publication date: 1989-01-01T00:00:00Z
review text: Let X be a quasiprojective scheme whose singularities form a finite set of closed points. \textit{C. Pedrini} and \textit{C. A. Weibel} [in Applications of algebraic K-theory to algebraic geometry and number theory, Proc. AMS-IMS-SIAM Joint Summer Res. Conf., Boulder/Colo. 1983, Part I, Contemp. Math. 55, 339-370 (1986; Zbl 0607.14002)] constructed an explicit flasque resolution of the K-theory sheaf. Using this resolution the author constructs a Quillen-type of spectral sequence for \(K_*(X)\). The explicit construction makes it possible to relate K-theory to intersection theory on X.
Mathematics Subject Classification ID: 14C35
Mathematics Subject Classification ID: 19F27
Mathematics Subject Classification ID: 14B05
Mathematics Subject Classification ID: 19E08
zbMATH DE Number: 4175124
zbMATH Keywords: resolution of the K-theory sheaf
zbMATH Keywords: Quillen-type of spectral sequence
zbMATH Keywords: intersection theory
reviewed by: Victor P. Snaith
MaRDI profile type: Publication
cites work: Q4041756
cites work: Homotopy limits, completions and localizations
cites work: Quillen's K-theory and algebraic cycles on almost non-singular varieties
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cites work: Bloch's formula for varieties with isolated singularities: I
cites work: Higher algebraic K-theory: I
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cites work: A Brown-Gersten spectral sequence for the K-theory of varieties with isolated singularities
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description: scientific article; zbMATH DE number 4175124