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HODGE-THEORETIC OBSTRUCTION TO THE EXISTENCE OF QUATERNION ALGEBRAS

Published online by Cambridge University Press:  24 March 2003

ANDREW KRESCH
Affiliation:
Department of Mathematics, University of Pennsylvania, Philadelphia, PA 19104, USAkresch@math.upenn.edu
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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.

Type
NOTES AND PAPERS
Copyright
© The London Mathematical Society 2003

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Footnotes

The author was partially supported by an NSF Postdoctoral Research Fellowship.