Zero-cycles of degree one on Skorobogatov's bielliptic surface
Number Theory
2017-02-22 v2
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-Th\'el\`ene.
Keywords
Cite
@article{arxiv.1702.02629,
title = {Zero-cycles of degree one on Skorobogatov's bielliptic surface},
author = {Brendan Creutz},
journal= {arXiv preprint arXiv:1702.02629},
year = {2017}
}