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arXiv · 1204.2001

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

Ricardo Conceição·Douglas Ulmer·José Felipe Voloch
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Abstract

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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Ricardo Conceição, Douglas Ulmer, José Felipe Voloch. 2012-04-09. Unboundedness of the number of rational points on curves over function fields. https://arxiv.org/abs/1204.2001

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