Creutz, B.Viray, B.2016-02-212016-02-212015Creutz, B., Viray, B. (2015) On Brauer groups of double covers of ruled surfaces. Mathematische Annalen, 362(3), pp. 1169-1200.1432-1807http://hdl.handle.net/10092/11828Let 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.enJournal ArticleField of Research::01 - Mathematical Sciences::0102 - Applied Mathematicshttps://doi.org/10.1007/s00208-014-1153-0