Failure of the Hasse Principle on General K3 Surfaces
| dc.citation.firstpage | 853 | en_US |
| dc.citation.issueNumber | 4 | en_US |
| dc.citation.journalTitle | Journal of the Institute of Mathematics of Jessieu | en_US |
| dc.citation.lastpage | 877 | en_US |
| dc.citation.volumeNumber | 12 | en_US |
| dc.contributor.author | Hassett, Brendan | en_US |
| dc.contributor.author | Varilly-Alvarado, Anthony | en_US |
| dc.date.accessioned | 2013-09-13T16:37:28Z | en_US |
| dc.date.available | 2013-09-13T16:37:28Z | en_US |
| dc.date.issued | 2013 | en_US |
| 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). | en_US |
| dc.embargo.terms | none | en_US |
| dc.identifier.citation | Hassett, Brendan and Varilly-Alvarado, Anthony. "Failure of the Hasse Principle on General K3 Surfaces." <i>Journal of the Institute of Mathematics of Jessieu,</i> 12, no. 4 (2013) Oxford University Press: 853-877. http://dx.doi.org/10.1017/S1474748012000904. | en_US |
| dc.identifier.doi | http://dx.doi.org/10.1017/S1474748012000904 | en_US |
| dc.identifier.uri | https://hdl.handle.net/1911/71906 | en_US |
| dc.language.iso | eng | en_US |
| dc.publisher | Oxford University Press | en_US |
| 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. | en_US |
| dc.title | Failure of the Hasse Principle on General K3 Surfaces | en_US |
| dc.type | Journal article | en_US |
| dc.type.dcmi | Text | en_US |
| dc.type.publication | post-print | en_US |