Density of rational points on a quadric bundle in \(\mathbb{P}^3 \times \mathbb{P}^3 \)

DOI10.1215/00127094-2020-0031zbMath1477.11058arXiv1805.10715OpenAlexW3084261025MaRDI QIDQ2217894

D. R. Heath-Brown, Timothy D. Browning

Publication date: 12 January 2021

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

Full work available at URL: https://arxiv.org/abs/1805.10715

zbMATH Keywords

Manin's conjecturerational pointscircle methodthin setsgeometry of numbersheight functionsbiprojective hypersurfaces

Mathematics Subject Classification ID

Applications of the Hardy-Littlewood method (11P55) Rational points (14G05) Counting solutions of Diophantine equations (11D45) Heights (11G50) Global ground fields in algebraic geometry (14G25)

Related Items (7)

Rational curves on del Pezzo surfaces in positive characteristic ⋮ Geometric consistency of Manin's conjecture ⋮ Counting rational points on biprojective hypersurfaces of bidegree \((1,2)\) ⋮ On the unirationality of quadric bundles ⋮ General bilinear forms in the Jacobi symbol over hyperbolic regions ⋮ A Zariski dense exceptional set in Manin's conjecture: dimension 2 ⋮ The Manin–Peyre conjecture for smooth spherical Fano varieties of semisimple rank one

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