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arXiv · alg-geom/9607014

Torsion Points on an Algebraic Subset of an Affine Torus

Eriko Hironaka
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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.

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BibTeXRIS

Eriko Hironaka. 1996-07-16. Torsion Points on an Algebraic Subset of an Affine Torus. https://arxiv.org/abs/alg-geom/9607014

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