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Classical Polylogarithms

Richard Hain
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Abstract

This paper is an introduction to classical polylogarithms and is an expanded version of a talk given by the author at the Motives conference. Topics covered include, monodromy; the polylogarithm local systems; Bloch's constructions of regulators using the dilogarithm; polylog locals systems as variations of mixed Hodge structre; the polylogarithm quotient of the fundamental group of C - {0,}. It is intended as background for understanding recent work of Beilinson, Deligne, and Goncharov.

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BibTeXRIS

Richard Hain. 1992-03-25. Classical Polylogarithms. https://arxiv.org/abs/alg-geom/9202022

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