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arXiv:1008.1905 [math.NT]AbstractReferencesReviewsResources

Rational points on curves

Michael Stoll

Published 2010-08-11Version 1

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.

Comments: 21 pages
Categories: math.NT, math.AG
Subjects: 11D41, 11G30, 14G05, 14G25
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