Authors conjecture that integral points close in archimedean topology to a fixed rational boundary point on weakly log Fano varieties lie on rational curves with at most two points at infinity, verified on examples.
Colliot-Thélène, Points rationnels sur les fibrations, Higher dimensional varieties and rational points (Budapest, 2001)
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Integral Diophantine approximation on varieties
Authors conjecture that integral points close in archimedean topology to a fixed rational boundary point on weakly log Fano varieties lie on rational curves with at most two points at infinity, verified on examples.