Torsion Points on an Algebraic Subset of an Affine Torus
Abstract
Description
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.
LaTeX, 25 pages, 4 figures. email: eko@math.toronto.edu
LaTeX, 25 pages, 4 figures. email: eko@math.toronto.edu