On Brauer groups of double covers of ruled surfaces

Type of content
Journal Article
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Publisher
University of Canterbury. Mathematics and Statistics
Journal Title
Journal ISSN
Volume Title
Language
Date
2015
Authors
Creutz, B.
Viray, B.
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.

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Citation
Creutz, B., Viray, B. (2015) On Brauer groups of double covers of ruled surfaces. Mathematische Annalen, 362(3), pp. 1169-1200.
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Ngā upoko tukutuku/Māori subject headings
ANZSRC fields of research
Field of Research::01 - Mathematical Sciences::0102 - Applied Mathematics
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