K-theory of blow-ups and vector bundles on the cone over a surface

DOI10.1007/BF00961066zbMath0806.14003MaRDI QIDQ1313091

Caterina Consani

Publication date: 13 February 1995

Published in: \(K\)-Theory (Search for Journal in Brave)

zbMATH Keywords

conehomotopy group of the \(K\)-theory spectrumvanishing of the relative Chow groups

Mathematics Subject Classification ID

Parametrization (Chow and Hilbert schemes) (14C05) (K)-theory of schemes (19E08) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35)

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An Artin-Rees theorem in 𝐾-theory and applications to zero cycles, Zero cycles on a threefold with isolated singularities

Cites Work

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• Torsion in the Chow group of codimension two: The case of varieties with isolated singularities
• Localization on singular varieties
• Quillen's K-theory and algebraic cycles on almost non-singular varieties
• Vector bundles over affine surfaces birationally equivalent to a ruled surface
• The localization theorem for protective modules