Manin’s Conjecture for a Class of Singular Cubic Hypersurfaces-Reference-Cited by-同舟云学术

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Manin’s Conjecture for a Class of Singular Cubic Hypersurfaces

Published:2017-08-16 Issue:7 Volume:2019 Page:2008-2043
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Liu Jianya¹,Wu Jie²³,Zhao Yongqiang⁴

Affiliation:

1. School of Mathematics, Shandong University, Jinan, Shandong, China

2. CNRS, UMR 7502, Institut Élie Cartan de Lorraine, Vandœuvre-lès-Nancy, France

3. UMR 7502, Institut Élie Cartan de Lorraine, Université de Lorraine, Vandœuvre-lès-Nancy, France

4. Westlake Institute for Advanced Study, Shilongshan Road, Cloud Town, Xihu District, Hangzhou, Zhejiang Province, China

Funder

National Science Foundation of China

Ministry of Education

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

http://academic.oup.com/imrn/article-pdf/2019/7/2008/28332927/rnx179.pdf

Reference25 articles.

1. “Sur le nombre des points rationnels de hauteur borné des variétés algébriques.”;Batyrev;Math. Ann.,1990

2. “Forms in many variables.”;Birch;Proc. Roy. Soc. Lond. A,1962

3. “Sur le nombre de points de hauteur bornée d’une certaine surface cubique singulière.”;de la Bretèche;Astérisque,1998

4. An overview of Manin’s conjecture for del Pezzo surfaces.;Browning,2007

5. “On a certain senary cubic form.”;Blomer;Proc. London Math. Soc.,2014

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1. Rational points on a class of cubic hypersurfaces;Forum Mathematicum;2024-07-27

2. On the number of integers which form perfect powers in the way of $ x(y_1^2+y_2^2+y_3^2+y_4^2) = z^k $;AIMS Mathematics;2024

3. On the number of rational points on a class of singular hypersurfaces;Periodica Mathematica Hungarica;2022-08-10

4. The distribution of rational points for a class of quartic hypersurfaces;Research in Number Theory;2022-02-19

5. Manin’s conjecture for a class of singular cubic hypersurfaces;Frontiers of Mathematics in China;2021-09-04

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