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arXiv:1008.0596 [math.NT]AbstractReferencesReviewsResources

Failure of the Hasse principle for Enriques surfaces

Anthony Várilly-Alvarado, Bianca Viray

Published 2010-08-03Version 1

We construct an Enriques surface X over Q with empty \'etale-Brauer set (and hence no rational points) for which there is no algebraic Brauer-Manin obstruction to the Hasse principle. In addition, if there is a transcendental obstruction on X, then we obtain a K3 surface that has a transcendental obstruction to the Hasse principle.

Comments: 16 pages, 2 tables, Magma code included at the end of the source file
Journal: Adv. Math. 226 (2011), 4884-4901
Categories: math.NT, math.AG
Subjects: 11G35, 14G05, 14G25, 14G40
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