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dc.contributor.authorHassett, Brendan
Varilly-Alvarado, Anthony
dc.date.accessioned 2013-09-13T16:37:28Z
dc.date.available 2013-09-13T16:37:28Z
dc.date.issued 2013
dc.identifier.citation Hassett, Brendan and Varilly-Alvarado, Anthony. "Failure of the Hasse Principle on General K3 Surfaces." Journal of the Institute of Mathematics of Jessieu, 12, no. 4 (2013) Oxford University Press: 853-877. http://dx.doi.org/10.1017/S1474748012000904.
dc.identifier.urihttps://hdl.handle.net/1911/71906
dc.description.abstract We show that transcendental elements of the Brauer group of an algebraic surface can obstruct the Hasse principle. We construct a general K3 surface X of degree 2 over Q, together with a two-torsion Brauer class that is unramified at every finite prime, but ramifies at real points of X. Motivated by Hodge theory, the pair (X, ) is constructed from a double cover of P2 × P2 ramified over a hypersurface of bi-degree (2, 2).
dc.language.iso eng
dc.publisher Oxford University Press
dc.rights This is an author's peer-reviewed final manuscript, as accepted by the publisher. The published article is copyrighted by Oxford University Press.
dc.title Failure of the Hasse Principle on General K3 Surfaces
dc.type Journal article
dc.contributor.funder National Science Foundation
dc.citation.journalTitle Journal of the Institute of Mathematics of Jessieu
dc.citation.volumeNumber 12
dc.citation.issueNumber 4
dc.embargo.terms none
dc.type.dcmi Text
dc.identifier.doihttp://dx.doi.org/10.1017/S1474748012000904
dc.identifier.grantID 0554491 (National Science Foundation)
dc.identifier.grantID 0901645 (National Science Foundation)
dc.identifier.grantID 1103659 (National Science Foundation)
dc.type.publication post-print
dc.citation.firstpage 853
dc.citation.lastpage 877


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