Torsion Points on an Algebraic Subset of an Affine Torus

1996/07/16 by Hironaka, Eriko
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.alg-geom/9607014

Abstract

Work of Laurent and Sarnak, following a conjecture of Lang, shows that the number of torsion points of order n on an algebraic subset of an affine complex torus is polynomial periodic. In this paper, we find bounds on the degree and period of this number as a function of n. Some examples, including the number of n torsion points on Fermat curves, are computed to illustrate the methods.

Related

• Rational points in periodic analytic sets and the Manin-Mumford conjecture
• Computing the torsion points of a variety defined by lacunary polynomials
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