Permanent URL to this publication: http://dx.doi.org/10.5167/uzh-21886
Kresch, A (2003). Hodge-theoretic obstruction to the existence of quaternion algebras. Bulletin of the London Mathematical Society, 35(1):109-116.
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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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|Item Type:||Journal Article, refereed, original work|
|Communities & Collections:||07 Faculty of Science > Institute of Mathematics|
|Dewey Decimal Classification:||510 Mathematics|
|Deposited On:||29 Nov 2010 16:26|
|Last Modified:||14 Jan 2014 17:19|
|Publisher:||Oxford University Press|
|Additional Information:||his is a pre-copy-editing, author-produced PDF of an article accepted for publication in [Bulletin of the London Mathematical Society] following peer review. The definitive publisher-authenticated version [Bull. London Math. Soc. 35 (2003), no. 1, 109–116] is available online at: http://blms.oxfordjournals.org/content/35/1/109|
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