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arXiv · 1107.3431

On the minimal set for counterexamples to the local-global principle

Laura Paladino·Gabriele Ranieri·Evelina Viada
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Abstract

We prove that only for powers of 2 and 3 could occur counterexamples to the local-global divisibility principle for elliptic curves defined over the rationals. For we refine our previous criterion for the validity of the principle. We also give an example that shows that the assumptions of our criterion are necessary.

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Laura Paladino, Gabriele Ranieri, Evelina Viada. 2011-07-18. On the minimal set for counterexamples to the local-global principle. https://arxiv.org/abs/1107.3431

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