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arXiv · 2603.20529

Low degree points on singular plane curves

Zachary R. Canale·Nathan Chen·Zoe Curewitz·Jacob A. Daum·Karina Dovgodko·Carlos F. Santiago-Calderón·Shiv R. Yajnik
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Abstract

The purpose of this paper is to study low degree points on plane curves. We prove results analogous to those of Debarre and Klassen for singular plane curves with a finite number $\delta$ of ordinary nodes/cusps, where $\delta$ is bounded from above by a quadratic function in the degree of the plane curve.

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Zachary R. Canale, Nathan Chen, Zoe Curewitz, Jacob A. Daum, Karina Dovgodko, Carlos F. Santiago-Calderón, Shiv R. Yajnik. 2026-03-20. Low degree points on singular plane curves. https://arxiv.org/abs/2603.20529

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