Nagoya Mathematical Journal
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On $l$-adic iterated integrals, III. Galois actions on fundamental groups

Zdizisław Wojtkowiak
Source: Nagoya Math. J. Volume 178 (2005), 1-36.

Abstract

We continue to study $l$-adic iterated integrals introduced in the first part. We shall calculate explicitly $l$-adic logarithm and $l$-adic polylogarithms. Next we shall use these results to study Galois representations on the fundamental group of $\BP^{1}_{\overline{\Q(\mu_{n})}} \setminus \{ 0, \mu_{n} , \infty \}$.

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Primary Subjects: 11G55, 11G99, 14G32
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Permanent link to this document: http://projecteuclid.org/euclid.nmj/1124217069
Mathematical Reviews number (MathSciNet): MR2145313
Zentralblatt MATH identifier: 02211616

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