Unboundedness of the number of rational points on curves over function fields
classification
🧮 math.NT
keywords
curvesrationalfunctionnumberpointsboundedcannotcharacteristic
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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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