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arXiv · 0801.2071

The optimality of the Boundedness Height Conjecture

Viada Evelina
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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.

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Viada Evelina. 2008-11-10. The optimality of the Boundedness Height Conjecture. https://arxiv.org/abs/0801.2071

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