English

Uniformity of quadratic points

Algebraic Geometry 2024-11-26 v2 Number Theory

Abstract

In this paper, we extend a uniformity result of Dimitrov-Gao-Habegger to dimension two and use it to get a uniform bound on the set of all quadratic points for non-hyperelliptic non-bielliptic curves in terms of the Mordell-Weil rank.

Keywords

Cite

@article{arxiv.2105.15090,
  title  = {Uniformity of quadratic points},
  author = {Tangli Ge},
  journal= {arXiv preprint arXiv:2105.15090},
  year   = {2024}
}

Comments

25 pages; revised final version