dc.contributor.author | Ieronymou, Evis | en |
dc.creator | Ieronymou, Evis | en |
dc.date.accessioned | 2019-12-02T10:35:26Z | |
dc.date.available | 2019-12-02T10:35:26Z | |
dc.date.issued | 2010 | |
dc.identifier.issn | 1474-7480 | |
dc.identifier.uri | http://gnosis.library.ucy.ac.cy/handle/7/56898 | |
dc.description.abstract | We exhibit central simple algebras over the function field of a diagonal quartic surface over the complex numbers that represent the 2-torsion part of its Brauer group. We investigate whether the 2-primary part of the Brauer group of a diagonal quartic surface over a number field is algebraic and give sufficient conditions for this to be the case. In the last section we give an obstruction to weak approximation due to a transcendental class on a specific diagonal quartic surface, an obstruction which cannot be explained by the algebraic Brauer group which in this case is just the constant algebras. Copyright © 2010 Cambridge University Press. | en |
dc.source | Journal of the Institute of Mathematics of Jussieu | en |
dc.source.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-77958467685&doi=10.1017%2fS1474748010000149&partnerID=40&md5=c56e051fae50c95c29a447dad7a4d781 | |
dc.subject | Brauer group | en |
dc.subject | Brauer-Manin obstruction | en |
dc.subject | diagonal quartic surfaces | en |
dc.subject | weak approximation | en |
dc.title | Diagonal quartic surfaces and transcendental elements of the Brauer group | en |
dc.type | info:eu-repo/semantics/article | |
dc.identifier.doi | 10.1017/S1474748010000149 | |
dc.description.volume | 9 | |
dc.description.issue | 4 | |
dc.description.startingpage | 769 | |
dc.description.endingpage | 798 | |
dc.author.faculty | Σχολή Θετικών και Εφαρμοσμένων Επιστημών / Faculty of Pure and Applied Sciences | |
dc.author.department | Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics | |
dc.type.uhtype | Article | en |
dc.description.notes | <p>Cited By :10</p> | en |
dc.source.abbreviation | J.Inst.Math.Jussieu | en |
dc.contributor.orcid | Ieronymou, Evis [0000-0002-9349-8471] | |
dc.gnosis.orcid | 0000-0002-9349-8471 | |