The Maillot-Rössler current and the polylogarithm on abelian schemes

DOI10.2140/ant.2019.13.501zbMath1452.11077arXiv1803.00833OpenAlexW3098830838MaRDI QIDQ1736432

Guido Kings, Danny Scarponi

Publication date: 26 March 2019

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.00833

zbMATH Keywords

Arakelov geometryDeligne cohomologyarithmetic Chow groupsabelian polylogarithm

Mathematics Subject Classification ID

Arithmetic varieties and schemes; Arakelov theory; heights (14G40) Polylogarithms and relations with (K)-theory (11G55) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35)

Cites Work

• Unnamed Item
• Higher regulators and values of \(L\)-functions
• Arithmetic intersection theory
• Arakelov Chow groups of abelian schemes, arithmetic Fourier transform, and analogues of the standard conjectures of Lefschetz type
• Opérations En K-Théorie Algébrique
• The realization of the degree zero part of the motivic polylogarithm on abelian schemes in Deligne–Beilinson cohomology
• Polylogarithm for families of commutative group schemes
• Higher Analytic Torsion, Polylogarithms and Norm Compatible Elements on Abelian Schemes

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