Polylogarithms, regulators, and Arakelov motivic complexes

DOI10.1090/S0894-0347-04-00472-2zbMath1104.11036arXivmath/0207036OpenAlexW2146882005MaRDI QIDQ3155912

Alexander B. Goncharov

Publication date: 4 January 2005

Published in: Journal of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0207036

zbMATH Keywords

polylogarithmregulatorArakelov theorymotivic complex

Mathematics Subject Classification ID

Arithmetic varieties and schemes; Arakelov theory; heights (14G40) Polylogarithms and relations with (K)-theory (11G55) Étale cohomology, higher regulators, zeta and (L)-functions ((K)-theoretic aspects) (19F27) Algebraic cycles and motivic cohomology ((K)-theoretic aspects) (19E15)

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Cites Work

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• Mixed Tate motives
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• Chow polylogarithms and regulators
• Real Grassmann polylogarithms and Chern classes
• Stable real cohomology of arithmetic groups
• The existence of higher logarithms
• Integral elements of K-theory and products of modular curves II
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