A quantitative version of Northcott's theorem on points of bounded height: The function field case
Year: 2024
Type: article
Abstract: Let be a finite algebraic extension of the field of rational functions in one indeterminate over a finite field and let denote an algebraic closure of . For given integers and we count points in projective space with absolute logarithmic height and generating an extension of degree over . Specifically, we derive an asymptotic estimate for the number of such points as when and orders of growth for the number of such points when .
DOI: 10.1112/jlms.70059
Author: Jeffrey Lin Thunder
Institution: Northern Illinois University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W4405866817