Integral regulators for higher Chow complexes

DOI10.3842/SIGMA.2018.118zbMath1423.14038arXiv1805.04646WikidataQ128975290 ScholiaQ128975290MaRDI QIDQ1755851

Muxi Li

Publication date: 11 January 2019

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.04646

zbMATH Keywords

algebraic cycleshigher Chow groupsAbel-Jacobi mapintegral regulator

Mathematics Subject Classification ID

Algebraic cycles (14C25) Étale cohomology, higher regulators, zeta and (L)-functions ((K)-theoretic aspects) (19F27) (Equivariant) Chow groups and rings; motives (14C15)

Related Items (4)

Regulator maps for higher Chow groups via current transforms ⋮ On localization for cubical higher Chow groups ⋮ Apéry extensions ⋮ Two applications of the integral regulator

Cites Work

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• A commutative regulator map into Deligne-Beilinson cohomology
• Two applications of the integral regulator
• Functional equations of the dilogarithm in motivic cohomology
• Algebraic cycles and higher K-theory
• Théorème de préparation pour les fonctions logarithmico-exponentielles. (Preparation theorem for logarithmico-exponential functions)
• An explicit basis for the rational higher Chow groups of abelian number fields
• The Abel-Jacobi map for higher Chow groups. II
• The Abel–Jacobi map for higher Chow groups

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