An Artin-Rees theorem in 𝐾-theory and applications to zero cycles

DOI10.1090/S1056-3911-09-00521-9zbMath1193.14010arXiv0804.1699MaRDI QIDQ3574777

Amalendu Krishna

Publication date: 2 July 2010

Published in: Journal of Algebraic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0804.1699

zbMATH Keywords

Chow groupsunimodular elementsAndre-Quillen homologydouble relative \(K\)-groups

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Relations of (K)-theory with cohomology theories (19E20) (Equivariant) Chow groups and rings; motives (14C15) Algebraic cycles and motivic cohomology ((K)-theoretic aspects) (19E15) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35)

Related Items (10)

A Singular Analogue of Gersten's Conjecture and Applications to K-theoretic Adèles ⋮ PRO CDH-DESCENT FOR CYCLIC HOMOLOGY AND -THEORY ⋮ ZERO-CYCLES ON NORMAL PROJECTIVE VARIETIES ⋮ Derived log Albanese sheaves ⋮ Pro unitality and pro excision in algebraic \(K\)-theory and cyclic homology ⋮ A case of the deformational Hodge conjecture via a pro Hochschild-Kostant-Rosenberg theorem ⋮ Negative 𝐾-theory and Chow group of monoid algebras ⋮ Zero-cycles with modulus and relative \(K\)-theory ⋮ Murthy's conjecture on 0-cycles ⋮ -THEORY OF MONOID ALGEBRAS AND A QUESTION OF GUBELADZE

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Schubert varieties are arithmetically Cohen-Macaulay
• Zero-cycles on singular varieties: Torsion and Bloch's formula
• Relative Milnor \(K\)-theory
• The Artinian Berger conjecture
• The universal regular quotient of the Chow group of points on projective varieties
• K-theory of blow-ups and vector bundles on the cone over a surface
• Milnor \(K\)-theory of rings, higher Chow groups and applications
• Relative K-theory and vector bundles on certain singular varieties
• Zero cycles and projective modules
• The negative K-theory of normal surfaces.
• Zero-cycles and \(K\)-theory on normal surfaces.
• Roitman's theorem for singular complex projective surfaces
• The obstruction to excision in \(K\)-theory and in cyclic homology
• On \(K_{2}\) of one-dimensional local rings
• Correction to Cartier-Dieudonne theory for Chow groups.
• Zero cycles on a singular surface. II.
• Zero cycles on a threefold with isolated singularities

This page was built for publication: An Artin-Rees theorem in 𝐾-theory and applications to zero cycles