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

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.

arXiv commentI will probably split this into two papers at some point in the future

References in corpus (2)

• p-adic multiple zeta values I -- p-adic multiple polylogarithms and the p-adic KZ equation
• Motivic periods and the projective line minus three points