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arXiv · 1008.1905

Rational points on curves

Michael Stoll
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Abstract

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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Michael Stoll. 2010-08-11. Rational points on curves. https://arxiv.org/abs/1008.1905

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