Colliot-Thélène–Sansuc conjecture on the Hilbert property of unirational varieties
Let be a unirational variety over a number field. The Colliot-Thélène–Sansuc conjecture. has the Hilbert property.
This conjecture connects the abundance of rational points with the inverse Galois problem. It is refuted: the paper notes that the relevant surface is not geometrically unirational, so the converse of the conjecture is false.
References
Primary source
Sam Streeter, “Hilbert property for double conic bundles and del Pezzo varieties”, arXiv:1812.05937 (2020).
Additional references
5 papers in this index state this conjecture (2014–2018). The statement above is taken from the most recent of them; the others are arXiv:1808.09061, arXiv:1808.09808, arXiv:1711.01882, arXiv:1409.0993.
Progress summary
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Solutions 0
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