Modular curves with infinitely many cubic points
Daeyeol Jeon
TL;DR
This paper identifies all modular curves $X_0(N)$ that have infinitely many cubic points, advancing understanding of rational points on modular curves and their arithmetic properties.
Contribution
It provides a complete classification of modular curves $X_0(N)$ with infinitely many cubic points, a novel result in the study of rational points on modular curves.
Findings
Identifies all $X_0(N)$ with infinitely many cubic points
Completes classification of modular curves by cubic points
Enhances understanding of rational points on modular curves
Abstract
In this study, we determine all modular curves that admit infinitely many cubic points.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Meromorphic and Entire Functions · Advanced Algebra and Geometry