Kresch, A (2003). Hodge-theoretic obstruction to the existence of quaternion algebras. Bulletin of the London Mathematical Society, 35(1):109-116.
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.
| 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: | 24 Sep 2019 16:16 |
| Publisher: | Wiley-Blackwell Publishing, Inc. |
| ISSN: | 0024-6093 |
| Additional Information: | this 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 |
| OA Status: | Green |
| Publisher DOI: | https://doi.org/10.1112/S0024609302001546 |
| Related URLs: | http://www.ams.org/mathscinet-getitem?mr=1934439 |
Kresch, A