The Hodge realization of the polylogarithm on the product of multiplicative groups

DOI10.1007/s00209-020-02483-yzbMath1469.11223arXiv2002.05142OpenAlexW3005996295MaRDI QIDQ2205625

Kenichi Bannai, Shuji Yamamoto, Kazuki Yamada, Kei Hagihara

Publication date: 21 October 2020

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.05142

Mathematics Subject Classification ID

Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Polylogarithms and relations with (K)-theory (11G55)

Cites Work

• Realizations of polylogarithms
• The Bloch-Wigner-Ramakrishnan polylogarithm function
• A note on polylogarithms on curves and abelian schemes
• Unipotent variations of mixed Hodge structure
• Classical motivic polylogarithm according to Beilinson and Deligne
• Théorie de Hodge. II. (Hodge theory. II)
• Théorie de Hodge. III
• Equations différentielles à points singuliers réguliers
• On the de Rham and $p$-adic realizations of the elliptic polylogarithm for CM elliptic curves
• Polylogarithm for families of commutative group schemes
• Réalisation de Hodge du polylogarithme d'un schéma abélien
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