English

Classical Polylogarithms

alg-geom 2008-02-03 v2 Algebraic Geometry

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.

Cite

@article{arxiv.alg-geom/9202022,
  title  = {Classical Polylogarithms},
  author = {Richard Hain},
  journal= {arXiv preprint arXiv:alg-geom/9202022},
  year   = {2008}
}

Comments

43 pages, LaTeX