Rational points on curves

  title={Rational points on curves},
  author={Michael Stoll},
  journal={arXiv: Number Theory},
  • M. Stoll
  • Published 11 August 2010
  • Mathematics
  • arXiv: Number Theory
This is an extended version of an invited lecture I gave at the Journees Arithmetiques in St. Etienne in July 2009. We discuss the state of the art regarding the problem of finding the set of rational points on a (smooth projective) geometrically integral curve C over Q. The focus is on practical aspects of this problem in the case that the genus of C is at least 2, and therefore the set of rational points is finite. 
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