scientific article; zbMATH DE number 2124259

zbMath1060.11038arXivmath/0210333MaRDI QIDQ4831664

D. R. Heath-Brown

Publication date: 3 January 2005

Full work available at URL: https://arxiv.org/abs/math/0210333

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

heightexponential sumsrational pointslattice pointscubic surfacesuniversal torsor

Mathematics Subject Classification ID

Rational points (14G05) Counting solutions of Diophantine equations (11D45) Lattices and convex bodies (number-theoretic aspects) (11H06) Varieties over global fields (11G35) Global ground fields in algebraic geometry (14G25) Special surfaces (14J25)

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On Manin's conjecture for a certain singular cubic surface ⋮ Quadratic congruences on average and rational points on cubic surfaces ⋮ Irreducible solutions of an equation involving reciprocals ⋮ On a symmetric Diophantine equation with reciprocals ⋮ Cox rings of extremal rational elliptic surfaces ⋮ The density of rational points on a certain singular cubic surface ⋮ Coulomb and Higgs branches from canonical singularities. I: Hypersurfaces with smooth Calabi-Yau resolutions ⋮ Cox rings of cubic surfaces and Fano threefolds ⋮ On the saturation number for cubic surfaces

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