On v-adic periods of t-motives

Yoshinori Mishiba

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arXiv · 1105.6243

On v-adic periods of t-motives

Yoshinori Mishiba

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Abstract

In this paper, we prove the equality between the transcendental degree of the field generated by the v-adic periods of a t-motive M and the dimension of the Tannakian Galois group for M, where v is a "finite" place of the rational function field over a finite field. As an application, we prove the algebraic independence of certain "formal" polylogarithms.

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Yoshinori Mishiba. 2011-05-31. On v-adic periods of t-motives. https://arxiv.org/abs/1105.6243

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