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On the arithmetic of del Pezzo surfaces of degree 2
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Kresch, Andrew and Tschinkel, Yuri (2004) On the arithmetic of del Pezzo surfaces of degree 2. Proceedings of the London Mathematical Society, Vol.89 (No.3). pp. 545-569. doi:10.1112/S002461150401490X ISSN 0024-6115.
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Official URL: http://dx.doi.org/10.1112/S002461150401490X
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.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Rational points (Geometry), Arithmetical algebraic geometry, Geometry, Algebraic, Galois cohomology, Surfaces, Algebraic | ||||
Journal or Publication Title: | Proceedings of the London Mathematical Society | ||||
Publisher: | Cambridge University Press | ||||
ISSN: | 0024-6115 | ||||
Official Date: | November 2004 | ||||
Dates: |
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Volume: | Vol.89 | ||||
Number: | No.3 | ||||
Page Range: | pp. 545-569 | ||||
DOI: | 10.1112/S002461150401490X | ||||
Status: | Peer Reviewed | ||||
Access rights to Published version: | Open Access (Creative Commons) | ||||
Funder: | Engineering and Physical Sciences Research Council (EPSRC), National Science Foundation (U.S.) (NSF) | ||||
Grant number: | 0100277 (NSF) |
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