Hostname: page-component-cd9895bd7-lnqnp Total loading time: 0 Render date: 2024-12-27T09:49:47.007Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Footnotes

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