Algebraic cycles and algebraic K-theory

DOI10.1016/0021-8693(79)90309-0zbMath0436.18009OpenAlexW2072939654MaRDI QIDQ1140708

Daniel R. Grayson

Publication date: 1979

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(79)90309-0

zbMATH Keywords

K-theoryalgebraic cyclesrational equivalenceBloch's formula

Mathematics Subject Classification ID

Abelian categories, Grothendieck categories (18E10) (Equivariant) Chow groups and rings; motives (14C15) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35) Localization of categories, calculus of fractions (18E35)

Related Items (3)

Localization for flat modules in algebraic K-theory ⋮ Algebraic K-theory ⋮ The relative form of Gersten's conjecture over a discrete valuation ring: The smooth case

Cites Work

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• The K-theory of hereditary categories
• Products in K-theory and intersecting algebraic cycles
• Rational equivalence of O-cycles on surfaces
• Linear determinants with applications to the Picard scheme of a family of algebraic curves
• Introduction to Grothendieck duality theory
• Higher algebraic K-theory: I
• K₂of artinian Q-algebras, with application to algebraic cycles
• RATIONAL EQUIVALENCE OF ZERO-CYCLES

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