Low degree points on singular plane curves
Algebraic Geometry
2026-03-24 v1 Number Theory
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 of ordinary nodes/cusps, where is bounded from above by a quadratic function in the degree of the plane curve.
Cite
@article{arxiv.2603.20529,
title = {Low degree points on singular plane curves},
author = {Zachary R. Canale and Nathan Chen and Zoe Curewitz and Jacob A. Daum and Karina Dovgodko and Carlos F. Santiago-Calderón and Shiv R. Yajnik},
journal= {arXiv preprint arXiv:2603.20529},
year = {2026}
}
Comments
11 pages, to appear in Involve