The optimality of the Boundedness Height Conjecture

Details The optimality of the Boundedness Height Conjecture The optimality of the Boundedness Height Conjecture

2008-01-14

arxiv.org/abs/0801.2071v3

Journal de Theorie des nombres de bordeaux, 21 (2009), 769-784

Mathematics

Number Theory

12 pages

Scientific paper

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.

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