The realization of the degree zero part of the motivic polylogarithm on abelian schemes in Deligne–Beilinson cohomology

DOI10.1142/S1793042117501378zbMath1429.14017arXiv1512.01997MaRDI QIDQ4595079

Danny Scarponi

Publication date: 28 November 2017

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.01997

zbMATH Keywords

Arakelov theoryDeligne-Beilinson cohomologyabelian polylogarithm

Mathematics Subject Classification ID

Arithmetic varieties and schemes; Arakelov theory; heights (14G40) Polylogarithms and relations with (K)-theory (11G55)

Related Items (1)

The Maillot-Rössler current and the polylogarithm on abelian schemes

Cites Work

• Unnamed Item
• On a canonical class of Green currents for the unit sections of abelian schemes
• Arithmetic intersection theory
• Théorie de Hodge. II. (Hodge theory. II)
• COHOMOLOGICAL ARITHMETIC CHOW RINGS
• Opérations En K-Théorie Algébrique
• Higher Analytic Torsion, Polylogarithms and Norm Compatible Elements on Abelian Schemes

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