A survey of the additive dilogarithm
Algebraic Geometry
2019-04-12 v1
Abstract
Borel's construction of the regulator gives an injective map from the algebraic -groups of a number field to its Deligne-Beilinson cohomology groups. This has many interesting arithmetic and geometric consequences. The formula for the regulator is expressed in terms of the classical polyogarithm functions. In this paper, we give a survey of the additive dilogarithm and the several different versions of the weight two regulator in the infinitesimal setting. We follow a historical approach which we hope will provide motivation for the definitions and the constructions.
Cite
@article{arxiv.1904.05409,
title = {A survey of the additive dilogarithm},
author = {Sinan Unver},
journal= {arXiv preprint arXiv:1904.05409},
year = {2019}
}