Rational points on curves

Details Rational points on curves Rational points on curves

2010-08-11

arxiv.org/abs/1008.1905v1

Mathematics

Number Theory

21 pages

Scientific paper

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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