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On the arithmetic of del Pezzo surfaces of degree 2

Published online by Cambridge University Press:  05 November 2004

Andrew Kresch  and
Yuri Tschinkel
Andrew Kresch
Affiliation:
Mathematics Institute, University of Warwick, Coventry, CV4 7AL, United Kingdom. E-mail: kresch@maths.warwick.ac.uk
Yuri Tschinkel
Affiliation:
Mathematisches Institut, Georg-August-Universität Göttingen, Bunsenstrasse 3–5, D–37073 Göttingen, Germany. E-mail: yuri@uni-math.gwdg.de
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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.

Keywords

del Pezzo surfacesBrauer groups14G05 (primary)12G05 (secondary)
Type
Research Article
Information
Proceedings of the London Mathematical Society , Volume 89 , Issue 3 , November 2004 , pp. 545 - 569
Copyright
2004 London Mathematical Society

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Footnotes

The first author was supported by an EPSRC Advanced Research Fellowship. The second author was supported by the NSF grant 0100277.