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

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

2011-07-18

arxiv.org/abs/1107.3431v1

Mathematics

Number Theory

21 pages

Scientific paper

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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