---
_id: '6620'
abstract:
- lang: eng
  text: "This paper establishes an asymptotic formula with a power-saving error term
    for the number of rational points of bounded height on the singular cubic surface
    of ℙ3ℚ given by the following equation \U0001D4650(\U0001D46521+\U0001D46522)−\U0001D46533=0
    in agreement with the Manin-Peyre conjectures.\r\n"
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Régis
  full_name: De La Bretèche, Régis
  last_name: De La Bretèche
- first_name: Kevin N
  full_name: Destagnol, Kevin N
  id: 44DDECBC-F248-11E8-B48F-1D18A9856A87
  last_name: Destagnol
- first_name: Jianya
  full_name: Liu, Jianya
  last_name: Liu
- first_name: Jie
  full_name: Wu, Jie
  last_name: Wu
- first_name: Yongqiang
  full_name: Zhao, Yongqiang
  last_name: Zhao
citation:
  ama: De La Bretèche R, Destagnol KN, Liu J, Wu J, Zhao Y. On a certain non-split
    cubic surface. <i>Science China Mathematics</i>. 2019;62(12):2435–2446. doi:<a
    href="https://doi.org/10.1007/s11425-018-9543-8">10.1007/s11425-018-9543-8</a>
  apa: De La Bretèche, R., Destagnol, K. N., Liu, J., Wu, J., &#38; Zhao, Y. (2019).
    On a certain non-split cubic surface. <i>Science China Mathematics</i>. Springer.
    <a href="https://doi.org/10.1007/s11425-018-9543-8">https://doi.org/10.1007/s11425-018-9543-8</a>
  chicago: De La Bretèche, Régis, Kevin N Destagnol, Jianya Liu, Jie Wu, and Yongqiang
    Zhao. “On a Certain Non-Split Cubic Surface.” <i>Science China Mathematics</i>.
    Springer, 2019. <a href="https://doi.org/10.1007/s11425-018-9543-8">https://doi.org/10.1007/s11425-018-9543-8</a>.
  ieee: R. De La Bretèche, K. N. Destagnol, J. Liu, J. Wu, and Y. Zhao, “On a certain
    non-split cubic surface,” <i>Science China Mathematics</i>, vol. 62, no. 12. Springer,
    pp. 2435–2446, 2019.
  ista: De La Bretèche R, Destagnol KN, Liu J, Wu J, Zhao Y. 2019. On a certain non-split
    cubic surface. Science China Mathematics. 62(12), 2435–2446.
  mla: De La Bretèche, Régis, et al. “On a Certain Non-Split Cubic Surface.” <i>Science
    China Mathematics</i>, vol. 62, no. 12, Springer, 2019, pp. 2435–2446, doi:<a
    href="https://doi.org/10.1007/s11425-018-9543-8">10.1007/s11425-018-9543-8</a>.
  short: R. De La Bretèche, K.N. Destagnol, J. Liu, J. Wu, Y. Zhao, Science China
    Mathematics 62 (2019) 2435–2446.
date_created: 2019-07-07T21:59:25Z
date_published: 2019-12-01T00:00:00Z
date_updated: 2023-08-28T12:32:20Z
day: '01'
department:
- _id: TiBr
doi: 10.1007/s11425-018-9543-8
external_id:
  arxiv:
  - '1709.09476'
  isi:
  - '000509102200001'
intvolume: '        62'
isi: 1
issue: '12'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1709.09476
month: '12'
oa: 1
oa_version: Preprint
page: 2435–2446
publication: Science China Mathematics
publication_identifier:
  issn:
  - '16747283'
publication_status: published
publisher: Springer
quality_controlled: '1'
scopus_import: '1'
status: public
title: On a certain non-split cubic surface
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 62
year: '2019'
...