Work

Cyclic cubic points on higher genus curves

Year: 2025

Type: article

Abstract: The distribution of degree points on curves is well understood, especially for low degrees. We refine this study to include information on the Galois group in the simplest interesting case: . For curves of genus at least 5, we show cubic points with Galois group arise from well‐structured morphisms, along with providing computable tests for the existence of such morphisms. We prove the same for curves of lower genus under some geometric or arithmetic assumptions.

Source: Journal of the London Mathematical Society

DOI: 10.1112/jlms.70288

Author: James Rawson

Institution: University of Warwick

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,930

Funders: University of Warwick, Engineering and Physical Sciences Research Council