Simplicial Abel-Jacobi maps and reciprocity laws-Reference-Cited by-同舟云学术

Simplicial Abel-Jacobi maps and reciprocity laws

Published:2017-07-21 Issue:1 Volume:27 Page:121-172
ISSN:1056-3911
Container-title:Journal of Algebraic Geometry
language:en
Short-container-title:J. Algebraic Geom.

Author:

Kerr Matt,Lewis James,Lopatto Patrick

Abstract

We describe an explicit morphism of complexes that induces the cycle-class maps from (simplicially described) higher Chow groups to rational Deligne cohomology. The reciprocity laws satisfied by the currents we introduce for this purpose are shown to provide a clarifying perspective on functional equations satisfied by complex-valued di- and trilogarithms.

Publisher

American Mathematical Society (AMS)

Subject

Geometry and Topology,Algebra and Number Theory

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