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Abstract: This is an extended version of an invited lecture I gave at the JourneesArithmetiques in St. Etienne in July 2009.We discuss the state of the art regarding the problem of finding the set ofrational 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 ofC is at least 2, and therefore the set of rational points is finite.

Author: Michael Stoll

Source: https://arxiv.org/

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