Counting torsion points on subvarieties of the algebraic torus

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

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Publication Details

Journal
Acta Arithmetica
Published
2025-01-01
DOI
https://doi.org/10.4064/aa221025-14-1
Primary Topic
Geometric and Algebraic Topology
Type
article
Field-Weighted Citation Impact
0.00

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article

Counting torsion points on subvarieties of the algebraic torus

Gerold Schefer
Acta Arithmetica
Geometric and Algebraic Topology
article

Counting torsion points on subvarieties of the algebraic torus

Gerold Schefer
article en

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

Acta ArithmeticaVol. 218(4)
University of Basel (CH), Department of Biomedicine Basel (CH)
National Science Foundation, Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung
Openalex Percentile: Top 88%
Geometric and Algebraic Topology
DOIOpen Access PDFOpenAlex
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