Number of points of bounded height on del Pezzo surfaces of degree 5

DOI10.1215/S0012-7094-02-11332-5zbMath1054.14025MaRDI QIDQ1847935

Régis de la Bretèche

Publication date: 27 October 2002

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Manin's conjecture

Mathematics Subject Classification ID

Rational points (14G05) Varieties over global fields (11G35)

Related Items (16)

Universal torsors of del Pezzo surfaces and homogeneous spaces ⋮ Imaginary quadratic points on toric varieties via universal torsors ⋮ Counting imaginary quadratic points via universal torsors ⋮ Singular del Pezzo surfaces that are equivariant compactifications ⋮ Degeneration of torsors over families of del Pezzo surfaces ⋮ The Manin–Peyre conjecture for smooth spherical Fano varieties of semisimple rank one ⋮ Cox rings over nonclosed fields ⋮ Manin's conjecture for quartic del Pezzo surfaces with a conic fibration ⋮ Points of bounded height, adelic topology and Tamagawa measures. ⋮ Beyond heights: slopes and distribution of rational points ⋮ Manin's conjecture for certain spherical threefolds ⋮ Height zeta functions ⋮ Algebraic points, non-anticanonical heights and the Severi problem on toric varieties ⋮ Counting curves on the plane blown up in three collinear points ⋮ Revisiting the Manin-Peyre conjecture for the split del Pezzo surface of degree 5 ⋮ Cox rings of cubic surfaces and Fano threefolds

Cites Work

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• La descente sur les variétés rationnelles. II. (The descent on rational varieties. II)
• Rational points of bounded height on Fano varieties
• On the number of rational points of bounded height on algebraic varieties
• On a theorem of Enriques--Swinnerton-Dyer
• Height zeta functions of toric varieties
• Heights and Tamagawa measures on Fano varieties
• Rational points of bounded height on Del Pezzo surfaces of degree six
• On the Number of Rational Points of Bounded Height on Smooth Bilinear Hypersurfaces in Biprojective Space
• Forms in many variables
• Heights in number fields
• The density of rational points on the cubic surface X 3 0= X 1 X 2 X 3
• Manin's conjecture for toric varieties
• Rational Points of Bounded Height on Compactifications of Anisotropic Tori
• Rational points on some Fano cubic bundles

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