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On the Arithmetic of Del Pezzo Surfaces of Degree 2
Authors:Kresch  Andrew; Tschinkel  Yuri
Institution:Mathematics Institute, University of Warwick Coventry, CV4 7AL, United Kingdom. E-mail: kresch{at}maths.warwick.ac.uk
Mathematisches Institut, Georg-August-Universität Göttingen Bunsenstrasse 3–5, D–37073 Göttingen, Germany. E-mail: yuri{at}uni-math.gwdg.de
Abstract:We study the arithmetic of certain del Pezzo surfaces of degree2. We produce examples of Brauer-Manin obstruction to the Hasseprinciple, coming from 2- and 4-torsion elements in the Brauergroup. 2000 Mathematics Subject Classification 14G05 (primary),12G05 (secondary).
Keywords:del Pezzo surfaces  Brauer groups
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