Zero-cycles of degree one on Skorobogatov's bielliptic surface (2017)
AuthorsCreutz Bshow all
© 2017 Elsevier Inc. 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-Thélène.
KeywordsZero-cycles; Brauer Manin obstruction; Bielliptic surfaces
ANZSRC Fields of Research01 - Mathematical Sciences::0101 - Pure Mathematics::010102 - Algebraic and Differential Geometry
01 - Mathematical Sciences::0101 - Pure Mathematics::010101 - Algebra and Number Theory