Contracting low degree points on curves

Fuente: arXiv
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Main Author: Derickx, Maarten
Format: Preprint
Published: 2025
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author Derickx, Maarten
author_facet Derickx, Maarten
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2503_12504
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Contracting low degree points on curves
Derickx, Maarten
Number Theory
Algebraic Geometry
11G30
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.
title Contracting low degree points on curves
topic Number Theory
Algebraic Geometry
11G30
url https://arxiv.org/abs/2503.12504