---
_id: '228'
abstract:
- lang: eng
text: Let X be a projective non-singular quartic hypersurface of dimension 39 or
more, which is defined over . We show that X() is non-empty provided that X()
is non-empty and X has p-adic points for every prime p.
acknowledgement: "EP/F060661/1\tEngineering and Physical Sciences Research Council"
author:
- first_name: Timothy D
full_name: Timothy Browning
id: 35827D50-F248-11E8-B48F-1D18A9856A87
last_name: Browning
orcid: 0000-0002-8314-0177
- first_name: Roger
full_name: Heath-Brown, Roger
last_name: Heath Brown
citation:
ama: Browning TD, Heath Brown R. Rational points on quartic hypersurfaces. Journal
fur die Reine und Angewandte Mathematik. 2009;(629):37-88. doi:10.1515/CRELLE.2009.026
apa: Browning, T. D., & Heath Brown, R. (2009). Rational points on quartic hypersurfaces.
Journal Fur Die Reine Und Angewandte Mathematik. Walter de Gruyter. https://doi.org/10.1515/CRELLE.2009.026
chicago: Browning, Timothy D, and Roger Heath Brown. “Rational Points on Quartic
Hypersurfaces.” Journal Fur Die Reine Und Angewandte Mathematik. Walter
de Gruyter, 2009. https://doi.org/10.1515/CRELLE.2009.026.
ieee: T. D. Browning and R. Heath Brown, “Rational points on quartic hypersurfaces,”
Journal fur die Reine und Angewandte Mathematik, no. 629. Walter de Gruyter,
pp. 37–88, 2009.
ista: Browning TD, Heath Brown R. 2009. Rational points on quartic hypersurfaces.
Journal fur die Reine und Angewandte Mathematik. (629), 37–88.
mla: Browning, Timothy D., and Roger Heath Brown. “Rational Points on Quartic Hypersurfaces.”
Journal Fur Die Reine Und Angewandte Mathematik, no. 629, Walter de Gruyter,
2009, pp. 37–88, doi:10.1515/CRELLE.2009.026.
short: T.D. Browning, R. Heath Brown, Journal Fur Die Reine Und Angewandte Mathematik
(2009) 37–88.
date_created: 2018-12-11T11:45:19Z
date_published: 2009-04-01T00:00:00Z
date_updated: 2021-01-12T06:56:29Z
day: '01'
doi: 10.1515/CRELLE.2009.026
extern: 1
issue: '629'
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/math/0701348
month: '04'
oa: 1
page: 37 - 88
publication: Journal fur die Reine und Angewandte Mathematik
publication_status: published
publisher: Walter de Gruyter
publist_id: '7676'
quality_controlled: 0
status: public
title: Rational points on quartic hypersurfaces
type: journal_article
year: '2009'
...