Manin’s Conjecture for a Class of Singular Cubic Hypersurfaces

Jianya Liu, Jie Wu, Yongqiang Zhao

Type: Article

Publication Date: 2017-07-13

Citations: 8

DOI: https://doi.org/10.1093/imrn/rnx179

Abstract

Journal Article Manin's Conjecture for a Class of Singular Cubic Hypersurfaces Get access Jianya Liu, Jianya Liu School of Mathematics, Shandong University, Jinan, Shandong, China Search for other works by this author on: Oxford Academic Google Scholar Jie Wu, Jie Wu CNRS, UMR 7502, Institut Élie Cartan de Lorraine, Vandœuvre-lès-Nancy, FranceUMR 7502, Institut Élie Cartan de Lorraine, Université de Lorraine, Vandœuvre-lès-Nancy, France Search for other works by this author on: Oxford Academic Google Scholar Yongqiang Zhao Yongqiang Zhao Westlake Institute for Advanced Study, Shilongshan Road, Cloud Town, Xihu District, Hangzhou, Zhejiang Province, China Correspondence to be sent to: e-mail: [email protected] Search for other works by this author on: Oxford Academic Google Scholar International Mathematics Research Notices, Volume 2019, Issue 7, April 2019, Pages 2008–2043, https://doi.org/10.1093/imrn/rnx179 Published: 16 August 2017 Article history Received: 30 May 2017 Revision requested: 07 July 2017 Accepted: 12 July 2017 Published: 16 August 2017

Locations

International Mathematics Research Notices - View
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Works Cited by This (16)

Action	Title	Year	Authors
+	Topics in Classical Automorphic Forms	1997	Henryk Iwaniec
+	Representations of Integers as Sums of Squares	1985	Emil Grosswald
+	Manin's conjecture for toric varieties	1995	Victor V. Batyrev Yuri Tschinkel
+	Tamagawa numbers of polarized algebraic varieties	1997	Victor V. Batyrev Yu. Tschinkel
+ PDF Chat	Divisor class groups of graded hypersurfaces	2007	Anurag K. Singh Sandra Spiroff
+	Rational points of bounded height on Fano varieties	1989	Jens Frankē Yuri I. Manin Yuri Tschinkel
+	Sur le nombre des points rationnels de hauteur borné des variétés algébriques	1990	Victor V. Batyrev Yu. I. Manin
+	Forms in many variables	1962	B. J. Birch
+	Cubic forms in sixteen variables	1963	H. Davenport
+ PDF Chat	The density of rational points on the cubic surface X 3 0= X 1 X 2 X 3	1999	D. R. Heath‐Brown B. Z. Moroz