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

Ricardo Concei Ccao,Douglas Ulmer,Jose Felipe Voloch

NEW YORK JOURNAL OF MATHEMATICS（2012）

Cited 22|Views2
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Abstract
We construct sequences of smooth nonisotrivial curves of 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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Key words
Algebraic curves,function fields,rational points
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