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arxiv: 1704.00555 · v1 · pith:OTWHTURFnew · submitted 2017-04-03 · 🧮 math.NT

Integral points on curves, the unit equation, and motivic periods

Francis Brown This is my paper
classification 🧮 math.NT
keywords curvesmotivicperiodspointsalbaneseboundingcanonicalchabauty
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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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  1. On Andr\'e periods of mixed Tate motives

    math.AG 2025-02 unverdicted novelty 5.0

    André periods reduce to classical periods for mixed Tate motives and realize special values of p-adic multiple polylogarithms via Frobenius-fixed motivic paths.