Cycle class maps for Chow groups of zero-cycles with modulus

DOI10.1016/j.jpaa.2022.107282OpenAlexW4309335603MaRDI QIDQ2684785

Kay Rülling, Shuji Saito

Publication date: 17 February 2023

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.00214

Mathematics Subject Classification ID

Relations of (K)-theory with cohomology theories (19E20) (Equivariant) Chow groups and rings; motives (14C15) Higher symbols, Milnor (K)-theory (19D45)

Related Items (2)

Ramification theory of reciprocity sheaves. II: Higher local symbols ⋮ Ramification theory of reciprocity sheaves. I: Zariski-Nagata purity

Cites Work

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• Chow group of 0-cycles with modulus and higher-dimensional class field theory
• On 0-cycles with modulus
• \(p\)-adic étale cohomology
• Torsion in the 0-cycle group with modulus
• Lefschetz theorem for abelian fundamental group with modulus
• Théorie de Hodge. II. (Hodge theory. II)
• Idele class groups with modulus
• Milnor 𝐾-theory of local rings with finite residue fields
• Complexe de de\thinspace Rham-Witt et cohomologie cristalline
• Logarithmic structures of Fontaine-Illusie. II
• Higher Chow groups with modulus and relative Milnor $K$-theory
• 𝐾-theory and 0-cycles on schemes
• RELATIVE CYCLES WITH MODULI AND REGULATOR MAPS

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