André periods reduce to classical periods for mixed Tate motives and realize special values of p-adic multiple polylogarithms via Frobenius-fixed motivic paths.
Integral points on curves, the unit equation, and motivic periods
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abstract
This paper recasts some of the recent literature on Kim's extension of Chabauty's method for bounding points on curves in the language of motivic periods. A variant of the higher Albanese manifolds is defined which is equipped with a canonical de Rham path.
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On Andr\'e periods of mixed Tate motives
André periods reduce to classical periods for mixed Tate motives and realize special values of p-adic multiple polylogarithms via Frobenius-fixed motivic paths.