Unboundedness of the number of rational points on curves over function fields

Details Unboundedness of the number of rational points on curves over function fields Unboundedness of the number of rational points on curves over function fields

2012-04-09

arxiv.org/abs/1204.2001v1

Mathematics

Number Theory

Scientific paper

We give examples of sequences of smooth non-isotrivial curves for every genus
at least two, defined over a rational function field of positive
characteristic, such that the (finite) number of rational points of the curves
in the sequence cannot be uniformly bounded.

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