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    On Brauer groups of double covers of ruled surfaces

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    Author
    Creutz, B.
    Viray, B.
    Date
    2015
    Permanent Link
    http://hdl.handle.net/10092/11828

    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.

    Subjects
    Field of Research::01 - Mathematical Sciences::0102 - Applied Mathematics
    Collections
    • Engineering: Journal Articles [932]
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