Zero-cycles of degree one on Skorobogatov's bielliptic surface
classification
🧮 math.NT
keywords
surfacebiellipticdegreeskorobogatovbrauer-manincolliot-thconjectureconstructed
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Skorobogatov constructed a bielliptic surface which is a counterexample to the Hasse principle not explained by the Brauer-Manin obstruction. We show that this surface has a $0$-cycle of degree 1, as predicted by a conjecture of Colliot-Th\'el\`ene.
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