Browning, T.D. and Vishe, P. (2014) 'Cubic hypersurfaces and a version of the circle method for number fields.', Duke mathematical journal., 163 (10). pp. 1825-1883.
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.
| Item Type: | Article |
|---|---|
| Full text: | (AM) Accepted Manuscript Download PDF (547Kb) |
| Status: | Peer-reviewed |
| Publisher Web site: | https://doi.org/10.1215/00127094-2738530 |
| Date accepted: | 05 November 2013 |
| Date deposited: | 13 September 2017 |
| Date of first online publication: | 08 July 2014 |
| Date first made open access: | 13 September 2017 |
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