A Remark on Nilpotent Polylogarithmic Extensions of the Field of Rational Functions of One Variable over C
Résumé
In this note we construct explicitly a family of nilpotent polylogarithmic extensions unramified outside three points of the field C(z) of rational functions of one variable over C. We show how to use these extensions to calculate explicitly l-adic polylogarithms introduced in [5].