On Brauer groups of double covers of ruled surfaces

dc.contributor.author	Creutz, B.
dc.contributor.author	Viray, B.
dc.date.accessioned	2016-02-21T21:48:07Z
dc.date.available	2016-02-21T21:48:07Z
dc.date.issued	2015	en
dc.description.abstract	Let X be a smooth double cover of a geometrically ruled surface defined over a separably closed field of characteristic different from 2. The main result of this paper is a finite presentation of the 2-torsion in the Brauer group of X with generators given by central simple algebras over the function field of X and relations coming from the N\'eron-Severi group of X. In particular, the result gives a central simple algebra representative for the unique nontrivial Brauer class on any Enriques surface. An example demonstrating the applications to the study of rational points is given.	en
dc.identifier.citation	Creutz, B., Viray, B. (2015) On Brauer groups of double covers of ruled surfaces. Mathematische Annalen, 362(3), pp. 1169-1200.	en
dc.identifier.doi	https://doi.org/10.1007/s00208-014-1153-0
dc.identifier.issn	1432-1807
dc.identifier.uri	http://hdl.handle.net/10092/11828
dc.language.iso	en
dc.publisher	University of Canterbury. Mathematics and Statistics	en
dc.rights.uri	https://hdl.handle.net/10092/17651
dc.subject.anzsrc	Field of Research::01 - Mathematical Sciences::0102 - Applied Mathematics	en
dc.title	On Brauer groups of double covers of ruled surfaces	en
dc.type	Journal Article

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