Rational points on cubic hypersurfaces over F(q,t)

Browning, T.D.; Vishe, P.

Abstract

The Hasse principle and weak approximation is established for non-singular cubic hypersurfaces X over the function field Fq(t)Fq(t), provided that char (Fq)>3(Fq)>3 and X has dimension at least 6.

Citation

Browning, T., & Vishe, P. (2015). Rational points on cubic hypersurfaces over F(q,t). Geometric And Functional Analysis, 25(3), 671-732. https://doi.org/10.1007/s00039-015-0328-5

• Journal Article Type: Article
• Acceptance Date: Mar 30, 2015
• Online Publication Date: Jun 11, 2015
• Publication Date: 2015-06
• Deposit Date: Dec 30, 2015
• Publicly Available Date: Jun 11, 2016
• Journal: Geometric And Functional Analysis
• Print ISSN: 1016-443X
• Electronic ISSN: 1420-8970
• Publisher: Springer
• Peer Reviewed: Peer Reviewed
• Volume: 25
• Issue: 3
• Pages: 671-732
• DOI: https://doi.org/10.1007/s00039-015-0328-5
• Public URL: https://durham-repository.worktribe.com/output/1416132
• Related Public URLs: arXiv:1502.00772