Torsion in the Chow group of codimension two: The case of varieties with isolated singularities

DOI10.1016/0022-4049(84)90033-1zbMath0589.14007OpenAlexW1989122576MaRDI QIDQ1073850

Alberto Collino

Publication date: 1984

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(84)90033-1

zbMATH Keywords

Chow group of algebraic varieties with isolated singularitiescodimension 2 cycles modulo rational equivalence

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Parametrization (Chow and Hilbert schemes) (14C05) (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)

Related Items (6)

Localization on singular varieties ⋮ Roitman's theorem for singular projective varieties in arbitrary characteristic ⋮ Roitman's theorem for singular complex projective surfaces ⋮ Bloch's formula for varieties with isolated singularities: I ⋮ Zero-cycles on singular varieties: Torsion and Bloch's formula ⋮ K-theory of blow-ups and vector bundles on the cone over a surface

Cites Work

• Washnitzer's conjecture and the cohomology of a variety with a single isolated singularity
• Quillen's K-theory and algebraic cycles on almost non-singular varieties
• Torsion Zero-Cycles on Singular Varieties
• Torsion algebraic cycles, K2, and Brauer groups of function fields
• Gersten's conjecture and the homology of schemes
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