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Feb 14, 2012 at 13:38 comment added François Brunault Regarding the question about bounded points, if a curve has infinitely many rational points then these points are dense (at least in one connected component of the curve). So the only problem I can think of is the case of a cubic curve with a bounded real component.
Feb 10, 2012 at 19:00 answer added Felipe Voloch timeline score: 4
Feb 10, 2012 at 17:19 history edited Fedor Petrov CC BY-SA 3.0
added 6 characters in body; added 36 characters in body
Feb 10, 2012 at 17:07 history edited Fedor Petrov CC BY-SA 3.0
more precise formulation
Feb 10, 2012 at 17:01 history asked Fedor Petrov CC BY-SA 3.0