---
_id: '179'
abstract:
- lang: eng
text: An asymptotic formula is established for the number of rational points of
bounded anticanonical height which lie on a certain Zariski dense subset of the
biprojective hypersurface x1y21+⋯+x4y24=0 in ℙ3×ℙ3. This confirms the modified
Manin conjecture for this variety, in which the removal of a thin set of rational
points is allowed.
article_processing_charge: No
article_type: original
author:
- first_name: Timothy D
full_name: Browning, Timothy D
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. Density of rational points on a quadric bundle
in ℙ3×ℙ3. Duke Mathematical Journal. 2020;169(16):3099-3165. doi:10.1215/00127094-2020-0031
apa: Browning, T. D., & Heath Brown, R. (2020). Density of rational points on
a quadric bundle in ℙ3×ℙ3. Duke Mathematical Journal. Duke University Press.
https://doi.org/10.1215/00127094-2020-0031
chicago: Browning, Timothy D, and Roger Heath Brown. “Density of Rational Points
on a Quadric Bundle in ℙ3×ℙ3.” Duke Mathematical Journal. Duke University
Press, 2020. https://doi.org/10.1215/00127094-2020-0031.
ieee: T. D. Browning and R. Heath Brown, “Density of rational points on a quadric
bundle in ℙ3×ℙ3,” Duke Mathematical Journal, vol. 169, no. 16. Duke University
Press, pp. 3099–3165, 2020.
ista: Browning TD, Heath Brown R. 2020. Density of rational points on a quadric
bundle in ℙ3×ℙ3. Duke Mathematical Journal. 169(16), 3099–3165.
mla: Browning, Timothy D., and Roger Heath Brown. “Density of Rational Points on
a Quadric Bundle in ℙ3×ℙ3.” Duke Mathematical Journal, vol. 169, no. 16,
Duke University Press, 2020, pp. 3099–165, doi:10.1215/00127094-2020-0031.
short: T.D. Browning, R. Heath Brown, Duke Mathematical Journal 169 (2020) 3099–3165.
date_created: 2018-12-11T11:45:02Z
date_published: 2020-09-10T00:00:00Z
date_updated: 2023-10-17T12:51:10Z
day: '10'
department:
- _id: TiBr
doi: 10.1215/00127094-2020-0031
external_id:
arxiv:
- '1805.10715'
isi:
- '000582676300002'
intvolume: ' 169'
isi: 1
issue: '16'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1805.10715
month: '09'
oa: 1
oa_version: Preprint
page: 3099-3165
publication: Duke Mathematical Journal
publication_identifier:
issn:
- 0012-7094
publication_status: published
publisher: Duke University Press
quality_controlled: '1'
status: public
title: Density of rational points on a quadric bundle in ℙ3×ℙ3
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 169
year: '2020'
...