Work

Counting torsion points on subvarieties of the algebraic torus

Year: 2025

Type: article

Abstract: We estimate the growth rate of the function which counts the number of torsion points of order at most $T$ on an algebraic subvariety of the algebraic torus $\mathbb G_{\rm m}^n$ over some algebraically closed field. We prove a general upper bound which i

Source: Acta Arithmetica

DOI: 10.4064/aa221025-14-1

Author: Gerold Schefer

Institution: University of Basel

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Funders: National Science Foundation, Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung

Awards: G5599649393, G628552264, Diophantine Equations: Special Points, Integrality, and Beyond