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On the arithmetic of del Pezzo surfaces of degree 2

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.

Additional indexing

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:03 Mar 2025 02:37
Publisher:Cambridge 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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