1992/02/20 by Richard Hain, Hain, Richard
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #alg-geom #math.AG
paper · pdf · doi:10.48550/arxiv.alg-geom/9202022
43 pages, LaTeX
arxiv created 1992/03/25 · arxiv updated 2009/11/30
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.