On a certain non-split cubic surface

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Journal Article | Published | English

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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
Publisher
Springer
Volume
62
Issue
12
Page
2435–2446
ISSN
IST-REx-ID
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arXiv 1709.09476

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