The generalized de Rham-Witt complex over a field is a complex of zero-cycles

DOI10.1090/S1056-3911-06-00446-2zbMath1122.14006OpenAlexW2046028532MaRDI QIDQ3424129

Kay Rülling

Publication date: 15 February 2007

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

Full work available at URL: https://doi.org/10.1090/s1056-3911-06-00446-2

zbMATH Keywords

Chow groupsde Rham-Witt complex

Mathematics Subject Classification ID

de Rham cohomology and algebraic geometry (14F40) Algebraic cycles (14C25) (Equivariant) Chow groups and rings; motives (14C15) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35)

Related Items (32)

RECIPROCITY SHEAVES AND THEIR RAMIFICATION FILTRATIONS ⋮ Mixed motives over k[t/(t^m+1)] ⋮ PRO CDH-DESCENT FOR CYCLIC HOMOLOGY AND -THEORY ⋮ Torsion and divisibility for reciprocity sheaves and 0-cycles with modulus ⋮ Erratum to “The generalized de Rham-Witt complex over a field is a complex of zero-cycles” ⋮ An additive variant of Somekawa's K-groups and Kähler differentials ⋮ Motivic cohomology of fat points in Milnor range ⋮ Zero cycles with modulus and zero cycles on singular varieties ⋮ Hodge cohomology with a ramification filtration. I ⋮ Zero-cycles with modulus associated to hyperplane arrangements on affine spaces ⋮ K-groups of reciprocity functors ⋮ Higher Chow groups with modulus and relative Milnor $K$-theory ⋮ Motivic cohomology ⋮ Reciprocity sheaves ⋮ CHERN CLASSES WITH MODULUS ⋮ Ramification theory of reciprocity sheaves. II: Higher local symbols ⋮ A motivic construction of the de Rham-Witt complex ⋮ Modulus of a rational map into a commutative algebraic group ⋮ The tangent complex to the Bloch-Suslin complex ⋮ Cube invariance of higher Chow groups with modulus ⋮ A cycle class map from Chow groups with modulus to relative \(K\)-theory ⋮ Deformations of Bloch groups and Aomoto dilogarithms in characteristic \(p\) ⋮ On the K-Theory of the Coordinate Axes in the Plane ⋮ Additive polylogarithms and their functional equations ⋮ The tower ofK-theory of truncated polynomial algebras ⋮ Motivic invariants of symmetric powers of curves ⋮ Tensor structures in the theory of modulus presheaves with transfers ⋮ RELATIVE CYCLES WITH MODULI AND REGULATOR MAPS ⋮ Motivic cohomology of fat points in Milnor range via formal and rigid geometries ⋮ A moving lemma for relative 0-cycles ⋮ De Rham–Witt sheaves via algebraic cycles ⋮ A Survey of the Additive Dilogarithm

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