Zero-cycle groups on algebraic varieties

DOI10.5802/jep.183zbMath1486.14013arXiv2104.07968OpenAlexW4205572446MaRDI QIDQ2073659

Federico Binda, Amalendu Krishna

Publication date: 3 February 2022

Published in: Journal de l'École Polytechnique -- Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.07968

zbMATH Keywords

motivic cohomologycycles with moduluscycles on singular varieties

Mathematics Subject Classification ID

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

Related Items (4)

Bloch’s formula for 0-cycles with modulus and higher-dimensional class field theory ⋮ Bertini theorems revisited ⋮ ZERO-CYCLES ON NORMAL PROJECTIVE VARIETIES ⋮ Suslin homology via cycles with modulus and applications

Cites Work

• Integral mixed motives in equal characteristic
• A restriction isomorphism for cycles of relative dimension zero
• Chow group of 0-cycles with modulus and higher-dimensional class field theory
• Albanese varieties with modulus over a perfect field
• A finiteness theorem for zero-cycles over \(p\)-adic fields
• On 0-cycles with modulus
• Application d'Abel-Jacobi p-adique et cycles algébriques. (p-adic Abel- Jacobi map and algebraic cycles)
• Singular homology of arithmetic schemes
• Théoremes de Bertini et applications
• Bloch's formula for singular surfaces
• The relativization of \(K_2\)
• Smoothness, semi-stability and alterations
• A module structure and a vanishing theorem for cycles with modulus
• The slice spectral sequence for singular schemes and applications
• On the Albanese map for smooth quasi-projective varieties
• Roitman's theorem for singular complex projective surfaces
• The \(K\)-theory of fields in characteristic \(p\)
• Torsion in the 0-cycle group with modulus
• Zero-cycles with modulus and relative \(K\)-theory
• Unramified class field theory of arithmetical surfaces
• Tame distillation and desingularization by \(p\)-alterations
• Critères de platitude et de projectivité. Techniques de platification d'un module. (Criterial of flatness and projectivity. Technics of flatification of a module.)
• Milnor 𝐾-theory of local rings with finite residue fields
• Torsion Zero-Cycles on Singular Varieties
• K1(A, B, I).
• Bertini theorems for hypersurface sections containing a subscheme
• Cycles, Transfers, and Motivic Homology Theories. (AM-143)
• Zero-Cycles on Varieties Over Finite Fields
• Zero cycles with modulus and zero cycles on singular varieties
• Cube invariance of higher Chow groups with modulus
• Rigidity for relative 0-cycles
• Motivic spectral sequence for relative homotopy K-theory
• RELATIVE CYCLES WITH MODULI AND REGULATOR MAPS
• Bloch’s formula for 0-cycles with modulus and higher-dimensional class field theory
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