Mathematical Journal of Okayama University 59巻 1号
2017-01 発行

On a non-abelian generalization of the Bloch–Kato exponential map

Sakugawa, Kenji Department of Mathematics Graduate School of Science, Osaka University
Publication Date
2017-01
Abstract
The present paper establishes a non-abelian generalization of the Bloch–Kato exponential map. Then, we relate p-adic polylogarithms introduced by Coleman to `-adic polylogarithms introduced by Wojtkowiak. This formula is another analog of the Coleman–Ihara formula obtained by Nakamura, Wojtkowiak, and the author.
Keywords
Bloch–Kato exponential map
Non-abelian p-adic Hodge theory
Coleman–Ihara formula