A Note on Divisible Points of Curves
Number Theory
2015-04-23 v2 Logic
Abstract
Let be an irreducible algebraic curve defined over a number field and inside an algebraic torus of dimension at least 3. We partially answer a question posed by Levin on points on for which a non-trivial power lies again on . Our results have connections to Zilber's Conjecture on Intersections with Tori and yield to methods arising in transcendence theory and the theory of o-minimal structures.
Cite
@article{arxiv.1301.5674,
title = {A Note on Divisible Points of Curves},
author = {Martin Bays and Philipp Habegger},
journal= {arXiv preprint arXiv:1301.5674},
year = {2015}
}
Comments
Published version, but with an error fixed in the formula for the function on page 2