Zero-cycles and \(K\)-theory on normal surfaces.

DOI10.2307/3597187zbMath1060.14015OpenAlexW2053480876MaRDI QIDQ1852705

Amalendu Krishna, Vasudevan Srinivas

Publication date: 2002

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/3597187

zbMATH Keywords

Grothendieck groupChow groupsalgebraic cyclesBloch-Beilinson conjecturessingular algebraic surfacesalbanese maprelative Chow groups

Mathematics Subject Classification ID

Singularities of surfaces or higher-dimensional varieties (14J17) Algebraic cycles (14C25) (Equivariant) Chow groups and rings; motives (14C15) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35)

Related Items (19)

Derived categories of singular surfaces ⋮ Bloch’s formula for 0-cycles with modulus and higher-dimensional class field theory ⋮ Zero Cycles on Singular surfaces ⋮ Roitman's theorem for singular projective varieties in arbitrary characteristic ⋮ Duality via cycle complexes ⋮ Towards connectivity for codimension 2 cycles: infinitesimal deformations ⋮ On Bloch’s map for torsion cycles over non-closed fields ⋮ 𝐾-theory and 0-cycles on schemes ⋮ ZERO-CYCLES ON NORMAL PROJECTIVE VARIETIES ⋮ Derived log Albanese sheaves ⋮ \(K\)-theory and the singularity category of quotient singularities ⋮ 𝐾-theory of cones of smooth varieties ⋮ An Artin-Rees theorem in 𝐾-theory and applications to zero cycles ⋮ Zero cycles on certain surfaces in arbitrary characteristic ⋮ Zero cycles on a threefold with isolated singularities ⋮ Murthy's conjecture on 0-cycles ⋮ Rigidity for relative 0-cycles ⋮ Price of fairness on networked auctions ⋮ Suslin homology via cycles with modulus and applications

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