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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| Accepted Version 174Kb |
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.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| DDC: | 510 Mathematics |
| Language: | English |
| Date: | 2003 |
| Deposited On: | 29 Nov 2010 17:26 |
| Last Modified: | 01 Dec 2012 11:14 |
| 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: | 10.1112/S0024609302001546 |
| Related URLs: | http://www.ams.org/mathscinet-getitem?mr=1934439 |
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