On the Hasse Principle For Complete Intersections

Northey, Matthew J; Vishe, Pankaj

doi:10.1112/S0010437X23007698

On the Hasse Principle For Complete Intersections

Northey, Matthew J; Vishe, Pankaj

Authors

Matthew Northey m.j.northey@durham.ac.uk
Academic Visitor

Professor Pankaj Vishe pankaj.vishe@durham.ac.uk
Professor

Contributors

Professor Pankaj Vishe pankaj.vishe@durham.ac.uk
Supervisor

Abstract

We prove the Hasse principle for a smooth projective variety X ⊂ P n−1 Q defined by a system of two cubic forms F, G as long as n ≥ 39. The main tool here is the development of a version of Kloosterman refinement for a smooth system of equations defined over Q.

Citation

Northey, M. J., & Vishe, P. (2024). On the Hasse Principle For Complete Intersections. Compositio Mathematica, 160(4), 771-835. https://doi.org/10.1112/S0010437X23007698

Journal Article Type	Article
Acceptance Date	Aug 21, 2023
Online Publication Date	Mar 5, 2024
Publication Date	Mar 5, 2024
Deposit Date	Oct 11, 2023
Publicly Available Date	Mar 11, 2024
Journal	Compositio Mathematica
Print ISSN	0010-437X
Electronic ISSN	1570-5846
Publisher	Cambridge University Press
Peer Reviewed	Peer Reviewed
Volume	160
Issue	4
Pages	771-835
DOI	https://doi.org/10.1112/S0010437X23007698
Public URL	https://durham-repository.worktribe.com/output/1746144

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This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (https://creativecommons.org/licenses/by/4.0), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited. Compositio Mathematica is © Foundation Compositio Mathematica.