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HODGE-THEORETIC OBSTRUCTION TO THE EXISTENCE OF QUATERNION ALGEBRAS

Published online by Cambridge University Press:  24 March 2003

ANDREW KRESCH
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
Information
Bulletin of the London Mathematical Society , Volume 35 , Issue 1 , January 2003 , pp. 109 - 116
Copyright
© The London Mathematical Society 2003

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Footnotes

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