Cubic hypersurfaces and a version of the circle method for number fields
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
Authors/Creators:
Browning, Tim
Vishe, Pankaj (phv501@york.ac.uk)
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.
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