Harari, D. and Scheiderer, C. and Szamuely, Tamás (2015) Weak Approximation for Tori over p-adic Function Fields. International Mathematics Research Notices, 2015 (10). pp. 2751-2783. ISSN 1073-7928 (print), 1687-0247 (online)
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Abstract
We study local-global questions for Galois cohomology over the function field of a curve defined over a p-adic field, the main focus being weak approximation of rational points. We construct a 9-term Poitou-Tate-type exact sequence for tori over a field as above (and also a 12-term sequence for finite modules). Like in the number field case, part of the sequence can then be used to analyze the defect of weak approximation for a torus. We also show that the defect of weak approximation is controlled by a certain subgroup of the third unramified cohomology group of the torus. © 2014 © The Author(s) 2014. Published by Oxford University Press. All rights reserved.
| Item Type: | Article |
|---|---|
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 17 Feb 2016 11:39 |
| Last Modified: | 17 Feb 2016 11:39 |
| URI: | http://real.mtak.hu/id/eprint/33637 |
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