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

Francis Brown

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

Number Theory 2017-04-04 v1

Authors: Francis Brown

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.

Keywords

integral points curves unit equation motivic periods Chabauty method Albanese manifolds de Rham path

Cite

@article{arxiv.1704.00555,
  title  = {Integral points on curves, the unit equation, and motivic periods},
  author = {Francis Brown},
  journal= {arXiv preprint arXiv:1704.00555},
  year   = {2017}
}

Comments

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

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