Torsion Points on an Algebraic Subset of an Affine Torus
alg-geom
2008-02-03 v1 Algebraic Geometry
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.
Cite
@article{arxiv.alg-geom/9607014,
title = {Torsion Points on an Algebraic Subset of an Affine Torus},
author = {Eriko Hironaka},
journal= {arXiv preprint arXiv:alg-geom/9607014},
year = {2008}
}
Comments
LaTeX, 25 pages, 4 figures. email: [email protected]