On André periods of mixed Tate motives

2025/02/24 by Dan-Cohen, Ishai
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2502.17404

Abstract

In this note, we show that the p-adic periods of motives introduced recently by Ancona and Frăţilă (``André periods'') reduce to the classically studied notion in the case of Mixed Tate motives. We also connect André periods with Coleman integration by observing that the Frobenius-fixed de Rham paths of Besser and Vologodsky come from motivic paths in characteristic p (unconditionally in the mixed Tate setting, conditionally in general). We use this to realize special values of p-adic multiple polylogarithms as André periods in a concrete way.

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