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

Francis Brown

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arXiv · 1704.00555

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

Francis Brown

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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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Francis Brown. 2017-04-03. Integral points on curves, the unit equation, and motivic periods. https://arxiv.org/abs/1704.00555

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