Contracting low degree points on curves

Maarten Derickx

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arXiv · 2503.12504

Contracting low degree points on curves

Maarten Derickx

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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.

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Maarten Derickx. 2025-03-16. Contracting low degree points on curves. https://arxiv.org/abs/2503.12504

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