On a certain non-split cubic surface

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.


Journal Article | Published | English

Scopus indexed
Author
De La Bretèche, Régis; Destagnol, Kevin NISTA; Liu, Jianya; Wu, Jie; Zhao, Yongqiang
Department
Abstract
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 𝑥0(𝑥21+𝑥22)−𝑥33=0 in agreement with the Manin-Peyre conjectures.
Publishing Year
Date Published
2019-12-01
Journal Title
Science China Mathematics
Volume
62
Issue
12
Page
2435–2446
ISSN
IST-REx-ID

Cite this

De La Bretèche R, Destagnol KN, Liu J, Wu J, Zhao Y. On a certain non-split cubic surface. Science China Mathematics. 2019;62(12):2435–2446. doi:10.1007/s11425-018-9543-8
De La Bretèche, R., Destagnol, K. N., Liu, J., Wu, J., & Zhao, Y. (2019). On a certain non-split cubic surface. Science China Mathematics. Springer. https://doi.org/10.1007/s11425-018-9543-8
De La Bretèche, Régis, Kevin N Destagnol, Jianya Liu, Jie Wu, and Yongqiang Zhao. “On a Certain Non-Split Cubic Surface.” Science China Mathematics. Springer, 2019. https://doi.org/10.1007/s11425-018-9543-8.
R. De La Bretèche, K. N. Destagnol, J. Liu, J. Wu, and Y. Zhao, “On a certain non-split cubic surface,” Science China Mathematics, vol. 62, no. 12. Springer, pp. 2435–2446, 2019.
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.
De La Bretèche, Régis, et al. “On a Certain Non-Split Cubic Surface.” Science China Mathematics, vol. 62, no. 12, Springer, 2019, pp. 2435–2446, doi:10.1007/s11425-018-9543-8.
All files available under the following license(s):
Copyright Statement:
This Item is protected by copyright and/or related rights. [...]

Link(s) to Main File(s)
Access Level
OA Open Access

Export

Marked Publications

Open Data ISTA Research Explorer

Web of Science

View record in Web of Science®

Sources

arXiv 1709.09476

Search this title in

Google Scholar