Serre's problem on the density of isotropic fibres in conic bundles

DOI10.1112/plms/pdw030zbMath1355.14019arXiv1602.03140OpenAlexW2260958437MaRDI QIDQ2827969

Efthymios Sofos

Publication date: 24 October 2016

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

Full work available at URL: https://arxiv.org/abs/1602.03140

zbMATH Keywords

Serre problemlower boundsieveconic bundledivisor sumHooley neutralizerisotropic fibre

Mathematics Subject Classification ID

Asymptotic results on counting functions for algebraic and topological structures (11N45) Quadratic and bilinear Diophantine equations (11D09) Rational points (14G05) Counting solutions of Diophantine equations (11D45) Arithmetic ground fields (finite, local, global) and families or fibrations (14D10) Applications of sieve methods (11N36)

Related Items (6)

Rational points on Del Pezzo surfaces of degree four ⋮ Counting rational points on quartic del Pezzo surfaces with a rational conic ⋮ ZERO-LOCI OF BRAUER GROUP ELEMENTS ON SEMI-SIMPLE ALGEBRAIC GROUPS ⋮ Averages of arithmetic functions over principal ideals ⋮ Fibrations with few rational points ⋮ The density of fibres with a rational point for a fibration over hypersurfaces of low degree

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• On the divisor-sum problem for binary forms
• Descent on fibrations over the projective line
• On Solvability of Ternary Quadratic Forms
• Counting rational points on del Pezzo surfaces with a conic bundle structure

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