Survey on the geometric Bogomolov conjecture
Algebraic Geometry
2017-03-16 v2
Abstract
This is a survey paper of the developments on the geometric Bogomolov conjecture. We explain the recent results by the author as well as previous works concerning the conjecture. This paper also includes an introduction to the height theory over function fields and a quick review on basic notions on non-archimedean analytic geometry.
Cite
@article{arxiv.1603.09083,
title = {Survey on the geometric Bogomolov conjecture},
author = {Kazuhiko Yamaki},
journal= {arXiv preprint arXiv:1603.09083},
year = {2017}
}
Comments
57 pages. This is an expanded lecture note of a talk at "Non-archimedean analytic Geometry: Theory and Practice" (24--28 August, 2015). It has been submitted to the conference proceedings. Appendix added