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arXiv:0902.3644 [math.NT]AbstractReferencesReviewsResources

Failure of the Hasse principle for Chatelet surfaces in characteristic 2

Bianca Viray

Published 2009-02-20, updated 2009-10-12Version 2

Given any global field k of characteristic 2, we construct a Chatelet surface over k which fails to satisfy the Hasse principle. This failure is due to a Brauer-Manin obstruction. This construction extends a result of Poonen to characteristic 2, thereby showing that the etale-Brauer obstruction is insufficient to explain all failures of the Hasse principle over a global field of any characteristic.

Comments: 5 pages. Changed the title, added Lemma 3.2, made small changes to the introduction
Journal: J. Th\'eor. Nombres Bordeaux 24 (2012), no. 1, 231-236
Categories: math.NT, math.AG
Subjects: 11G35, 14G05, 14G25, 14G40
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