T.D. Browning
Cubic hypersurfaces and a version of the circle method for number fields
Browning, T.D.; Vishe, P.
Abstract
A version of the Hardy–Littlewood circle method is developed for number fields K/QK/Q and is used to show that nonsingular projective cubic hypersurfaces over KK always have a KK-rational point when they have dimension at least 88.
Citation
Browning, T., & Vishe, P. (2014). Cubic hypersurfaces and a version of the circle method for number fields. Duke Mathematical Journal, 163(10), 1825-1883. https://doi.org/10.1215/00127094-2738530
Journal Article Type | Article |
---|---|
Acceptance Date | Nov 5, 2013 |
Online Publication Date | Jul 8, 2014 |
Publication Date | Jul 8, 2014 |
Deposit Date | Dec 30, 2015 |
Publicly Available Date | Mar 28, 2024 |
Journal | Duke Mathematical Journal |
Print ISSN | 0012-7094 |
Publisher | Duke University Press |
Peer Reviewed | Peer Reviewed |
Volume | 163 |
Issue | 10 |
Pages | 1825-1883 |
DOI | https://doi.org/10.1215/00127094-2738530 |
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