Torsion and divisibility for reciprocity sheaves and 0-cycles with modulus

DOI10.1016/j.jalgebra.2016.07.036zbMath1374.14007arXiv1503.02161OpenAlexW2963662978MaRDI QIDQ330177

Mohammad Hasan, M. Dambrine

Publication date: 24 October 2016

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

Full work available at URL: https://arxiv.org/abs/1503.02161

zbMATH Keywords

Chow groupsalgebraic cyclesmotivic cohomologynon-homotopy invariant motivesreciprocity sheaves

Mathematics Subject Classification ID

Algebraic cycles (14C25) Motivic cohomology; motivic homotopy theory (14F42) Algebraic cycles and motivic cohomology ((K)-theoretic aspects) (19E15)

Related Items (7)

Torsion 0-cycles with modulus on affine varieties ⋮ GYSIN TRIANGLES IN THE CATEGORY OF MOTIFS WITH MODULUS ⋮ Derived log Albanese sheaves ⋮ A motivic construction of the de Rham-Witt complex ⋮ Cube invariance of higher Chow groups with modulus ⋮ A cycle class map from Chow groups with modulus to relative \(K\)-theory ⋮ Rigidity for relative 0-cycles

Cites Work

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• Chow group of 0-cycles with modulus and higher-dimensional class field theory
• Albanese varieties with modulus over a perfect field
• Moving lemma for additive higher Chow groups
• Algebraic cycles and higher K-theory
• The additive dilogarithm
• On the Albanese map for smooth quasi-projective varieties
• Singular homology of abstract algebraic varieties
• Spécialisation du foncteur de Picard
• The generalized de Rham-Witt complex over a field is a complex of zero-cycles
• Additive higher Chow groups of schemes
• Regulators on additive higher Chow groups
• Torsion Zero-Cycles on Singular Varieties
• Bertini theorems for hypersurface sections containing a subscheme
• Zero cycles with modulus and zero cycles on singular varieties
• Reciprocity sheaves

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