Quadratic Chabauty and rational points I: p-adic heights
Number Theory
2018-11-14 v2 Algebraic Geometry
Abstract
We give the first explicit examples beyond the Chabauty-Coleman method where Kim's nonabelian Chabauty program determines the set of rational points of a curve defined over or a quadratic number field. We accomplish this by studying the role of -adic heights in explicit nonabelian Chabauty.
Cite
@article{arxiv.1601.00388,
title = {Quadratic Chabauty and rational points I: p-adic heights},
author = {Jennifer S. Balakrishnan and Netan Dogra},
journal= {arXiv preprint arXiv:1601.00388},
year = {2018}
}
Comments
45 pages, including two appendices; Appendix B by J. Steffen Mueller