PreprintOn the localglobal principle for divisibility in the cohomology of elliptic curvesBrendan CreutzAbstractFor every prime power \(p^n\) with \(p = 2\) or 3 and \(n > 1\) we give an example of an elliptic curve over \(\mathbb Q\) containing a rational point which is locally divisible by \(p^n\) but is not divisible by \(n\). For these same prime powers we construct examples showing that the analogous localglobal principle for divisibility in the WeilChâtelet group can also fail. This paper is available as a pdf (340kB) file.
