Contracting low degree points on curves
Number Theory
2025-03-18 v1 Algebraic Geometry
Abstract
The main result of this article is that all but finitely many points of small enough degree on a curve can be written as a pullback of a smaller degree point. The main theorem has several corollaries that yield improvements on results of Kadets and Vogt, Khawaja and Siksek, and Vojta under a slightly stronger assumption on the degree of the points.
Keywords
Cite
@article{arxiv.2503.12504,
title = {Contracting low degree points on curves},
author = {Maarten Derickx},
journal= {arXiv preprint arXiv:2503.12504},
year = {2025}
}