Abstract
We study the arithmetic of certain del Pezzo surfaces of degree 2. We produce examples of Brauer-Manin obstruction to the Hasse principle, coming from 2- and 4-torsion elements in the Brauer group.
Kresch, A; Tschinkel, Y (2004). On the arithmetic of del Pezzo surfaces of degree 2. Proceedings London Mathematical Society, 89(3):545-569.
Abstract
We study the arithmetic of certain del Pezzo surfaces of degree 2. We produce examples of Brauer-Manin obstruction to the Hasse principle, coming from 2- and 4-torsion elements in the Brauer group.
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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 |
| Scopus Subject Areas: | Physical Sciences > General Mathematics |
| Uncontrolled Keywords: | del Pezzo surfaces, Brauer groups |
| Language: | English |
| Date: | 2004 |
| Deposited On: | 29 Nov 2010 16:26 |
| Last Modified: | 29 Jul 2020 19:40 |
| Publisher: | Oxford University Press |
| ISSN: | 0024-6115 |
| OA Status: | Closed |
| Free access at: | Related URL. An embargo period may apply. |
| Publisher DOI: | https://doi.org/10.1112/S002461150401490X |
| Related URLs: | http://www.ams.org/mathscinet-getitem?mr=2107007 http://www.math.uzh.ch/fileadmin/user/kresch/publikation/dp2.pdf |
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Kresch, A