Zero-cycles of degree one on Skorobogatov's bielliptic surface

Published 8 Feb 2017 in math.NT | (1702.02629v2)

Abstract: 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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Brendan Creutz

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