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Cubic hypersurfaces and a version of the circle method for number fields

Browning, T.D.; Vishe, P.

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Authors

T.D. Browning



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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