Weak Approximation for Tori Over p-adic Function Fields
| dc.contributor.author | Harari, David | |
| dc.contributor.author | Scheiderer, Claus | |
| dc.contributor.author | Szamuely, Tamás | |
| dc.date.accessioned | 2017-08-08T07:37:39Z | |
| dc.date.available | 2017-08-08T07:37:39Z | |
| dc.date.issued | 2015 | eng |
| dc.description.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. | eng |
| dc.description.version | published | eng |
| dc.identifier.arxiv | 1307.4783 | eng |
| dc.identifier.doi | 10.1093/imrn/rnu019 | |
| dc.identifier.uri | https://kops.uni-konstanz.de/handle/123456789/26404 | |
| dc.language.iso | eng | eng |
| dc.legacy.dateIssued | 2014-02-24 | deu |
| dc.rights | terms-of-use | deu |
| dc.subject.ddc | 510 | eng |
| dc.title | Weak Approximation for Tori Over p-adic Function Fields | eng |
| dc.type | JOURNAL_ARTICLE | eng |
| dspace.entity.type | Publication | |
| kops.citation.bibtex | @article{Harari2015Appro-26404,
year={2015},
doi={10.1093/imrn/rnu019},
title={Weak Approximation for Tori Over p-adic Function Fields},
number={10},
issn={1073-7928},
journal={International Mathematics Research Notices : IMRN},
pages={2751--2783},
author={Harari, David and Scheiderer, Claus and Szamuely, Tamás}
} | |
| kops.citation.iso690 | HARARI, David, Claus SCHEIDERER, Tamás SZAMUELY, 2015. Weak Approximation for Tori Over p-adic Function Fields. In: International Mathematics Research Notices : IMRN. 2015(10), pp. 2751-2783. ISSN 1073-7928. eISSN 1687-0247. Available under: doi: 10.1093/imrn/rnu019 | deu |
| kops.citation.iso690 | HARARI, David, Claus SCHEIDERER, Tamás SZAMUELY, 2015. Weak Approximation for Tori Over p-adic Function Fields. In: International Mathematics Research Notices : IMRN. 2015(10), pp. 2751-2783. ISSN 1073-7928. eISSN 1687-0247. Available under: doi: 10.1093/imrn/rnu019 | eng |
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| kops.sourcefield | International Mathematics Research Notices : IMRN. 2015(10), pp. 2751-2783. ISSN 1073-7928. eISSN 1687-0247. Available under: doi: 10.1093/imrn/rnu019 | deu |
| kops.sourcefield.plain | International Mathematics Research Notices : IMRN. 2015(10), pp. 2751-2783. ISSN 1073-7928. eISSN 1687-0247. Available under: doi: 10.1093/imrn/rnu019 | deu |
| kops.sourcefield.plain | International Mathematics Research Notices : IMRN. 2015(10), pp. 2751-2783. ISSN 1073-7928. eISSN 1687-0247. Available under: doi: 10.1093/imrn/rnu019 | eng |
| kops.submitter.email | christoph.petzmann@uni-konstanz.de | deu |
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