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Hodge-theoretic obstruction to the existence of quaternion algebras


Kresch, A (2003). Hodge-theoretic obstruction to the existence of quaternion algebras. Bulletin of the London Mathematical Society, 35(1):109-116.

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.

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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4 citations in Web of Science®
4 citations in Scopus®
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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Language:English
Date:2003
Deposited On:29 Nov 2010 16:26
Last Modified:05 Apr 2016 13:25
Publisher:Oxford University Press
ISSN:0024-6093
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
Publisher DOI:https://doi.org/10.1112/S0024609302001546
Related URLs:http://www.ams.org/mathscinet-getitem?mr=1934439
Permanent URL: https://doi.org/10.5167/uzh-21886

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