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

Ricardo Conceição, Douglas Ulmer, José Felipe Voloch

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)291-293
Number of pages3
JournalNew York Journal of Mathematics
Volume18
StatePublished - Apr 26 2012
Externally publishedYes

Keywords

  • Algebraic curves
  • Function fields
  • Rational points

ASJC Scopus subject areas

  • Mathematics(all)

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