A note on divisible points of curves

@article{Bays2014ANO,
  title={A note on divisible points of curves},
  author={Martin Bays and Philipp Habegger},
  journal={Transactions of the American Mathematical Society},
  year={2014},
  volume={367},
  pages={1313-1328}
}
  • Martin Bays, Philipp Habegger
  • Published 2014
  • Mathematics
  • Transactions of the American Mathematical Society
  • Let C 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 C for which a non-trivial power lies again on C . 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. 

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