Browning, Tim and Vishe, Pankaj (2014) Cubic hypersurfaces and a version of the circle method for number fields. Duke Mathematical Journal. pp. 1825-1883. ISSN 0012-7094
Abstract
A version of the Hardy-Littlewood circle method is developed for number fields K/Q and is used to show that non-singular projective cubic hypersurfaces over K always have a K-rational point when they have dimension at least 8.
Metadata
Item Type: | Article | ||||
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Copyright, Publisher and Additional Information: | 47 pages; numerous minor changes. (c) 2014. This is an author produced version of a paper accepted for publication in Duke Mathematical Journal. Uploaded in accordance with the publisher's self-archiving policy. | ||||
Keywords: | math.NT, 11P55 (Primary) 11D72, 14G05 (Secondary) | ||||
Dates: |
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Institution: | The University of York | ||||
Academic Units: | The University of York > Faculty of Sciences (York) > Mathematics (York) | ||||
Funding Information: |
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Depositing User: | Pure (York) | ||||
Date Deposited: | 03 Nov 2015 13:41 | ||||
Last Modified: | 05 Apr 2024 23:07 | ||||
Published Version: | https://doi.org/10.1215/00127094-2738530 | ||||
Status: | Published | ||||
Refereed: | Yes | ||||
Identification Number: | https://doi.org/10.1215/00127094-2738530 |