HODGE-THEORETIC OBSTRUCTION TO THE EXISTENCE OF QUATERNION ALGEBRAS
Published online by Cambridge University Press: 24 March 2003
Abstract
This paper gives a necessary criterion in terms of Hodge theory for representability by quaternion algebras of certain 2-torsion classes in the unramified Brauer group of a complex function field. This criterion is used to give examples of threefolds with unramified Brauer group elements which are the classes of biquaternion division algebras.
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- © The London Mathematical Society 2003
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