Torsion Points on an Algebraic Subset of an Affine Torus

Details Torsion Points on an Algebraic Subset of an Affine Torus Torsion Points on an Algebraic Subset of an Affine Torus

1996-07-16

arxiv.org/abs/alg-geom/9607014v1

Mathematics

Algebraic Geometry

LaTeX, 25 pages, 4 figures. email: eko@math.toronto.edu

Scientific paper

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.

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