On a certain non-split cubic surface

DOI10.1007/s11425-018-9543-8zbMath1447.11050arXiv1709.09476OpenAlexW2963593582WikidataQ127623059 ScholiaQ127623059MaRDI QIDQ2010452

Jie Wu, Yongqiang Zhao, Régis de la Bretèche, Kevin Destagnol, Liu, Jianya

Publication date: 27 November 2019

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.09476

zbMATH Keywords

rational pointsasymptotic formulasingular cubic surfacedescent on torsorsManin-Peyre conjecturenon-split toric surface

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Counting solutions of Diophantine equations (11D45)

Related Items (3)

On the number of rational points on a class of singular hypersurfaces ⋮ Manin's conjecture for a class of singular cubic hypersurfaces ⋮ On a senary quartic form

Cites Work

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• Counting rational points over number fields on a singular cubic surface
• La descente sur les variétés rationnelles. II. (The descent on rational varieties. II)
• Real and étale cohomology
• Points of bounded height, adelic topology and Tamagawa measures.
• Heights and Tamagawa measures on Fano varieties
• O-minimality on twisted universal torsors and Manin's conjecture over number fields
• Introduction to Toric Varieties. (AM-131)
• La conjecture de Manin pour certaines surfaces de Châtelet
• Fonction zêta des hauteurs associée à une certaine surface cubique
• Arithmetic on Singular Del Pezzo Surfaces
• THE GEOMETRY OF TORIC VARIETIES
• The density of rational points on the cubic surface X 3 0= X 1 X 2 X 3
• Tamagawa numbers of polarized algebraic varieties
• Manin's conjecture for toric varieties
• Rational Points of Bounded Height on Compactifications of Anisotropic Tori
• Manin’s Conjecture for a Class of Singular Cubic Hypersurfaces
• Cox rings over nonclosed fields
• On a certain senary cubic form
• Gaussian rational points on a singular cubic surface
• On Manin's conjecture for singular del Pezzo surfaces of degree four, II
• Sous-groupes algébriques de rang maximum du groupe de Cremona

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