paper

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

arXiv:1702.02629

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 -cycle of degree 1, as predicted by a conjecture of Colliot-Thélène.