Effectivity of Brauer–Manin obstructions on surfaces |
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| Authors: | Andrew Kresch Yuri Tschinkel |
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| Institution: | aInstitut für Mathematik, Universität Zürich, Winterthurerstrasse 190, CH-8057 Zürich, Switzerland;bCourant Institute, 251 Mercer Street, New York, NY 10012, USA |
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| Abstract: | We study Brauer–Manin obstructions to the Hasse principle and to weak approximation on algebraic surfaces over number fields. A technique for constructing Azumaya algebra representatives of Brauer group elements is given, and this is applied to the computation of obstructions. |
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| Keywords: | MSC: primary 14G25 secondary 14F22 |
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