English

The optimality of the Boundedness Height Conjecture

Number Theory 2010-03-29 v3

Abstract

We show that the Boundedness Height Conjecture is optimal; all varieties in a power of an elliptic curve which do not satisfy the hypothesis neither satisfy the thesis. The Bounded Height Conjecture is known to hold for varieties in a power of an elliptic curve. We also present some examples and remarks.

Keywords

Cite

@article{arxiv.0801.2071,
  title  = {The optimality of the Boundedness Height Conjecture},
  author = {Viada Evelina},
  journal= {arXiv preprint arXiv:0801.2071},
  year   = {2010}
}

Comments

12 pages

R2 v1 2026-06-21T10:02:39.952Z