Rational points of bounded height on general conic bundle surfaces

DOI10.1112/plms.12134zbMath1460.11039arXiv1609.04330OpenAlexW3124963177WikidataQ130035017 ScholiaQ130035017MaRDI QIDQ4583435

Efthymios Sofos, Christopher Frei, Daniel Loughran

Publication date: 30 August 2018

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.04330

zbMATH Keywords

Manin's conjecturerational pointssurfacesconic bundles

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Rational points (14G05) Counting solutions of Diophantine equations (11D45) Varieties over global fields (11G35)

Related Items (9)

WEAK ADMISSIBILITY, PRIMITIVITY, O‐MINIMALITY, AND DIOPHANTINE APPROXIMATION ⋮ Rational points on Del Pezzo surfaces of degree four ⋮ Counting rational points on quartic del Pezzo surfaces with a rational conic ⋮ On upper bounds of Manin type ⋮ Integral points on symmetric affine cubic surfaces ⋮ Beyond heights: slopes and distribution of rational points ⋮ Rational points and non-anticanonical height functions ⋮ The density of fibres with a rational point for a fibration over hypersurfaces of low degree ⋮ Genus one fibrations and vertical Brauer elements on del Pezzo surfaces of degree 4

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