Fibrations with few rational points

DOI10.1007/s00039-016-0381-8zbMath1357.14028arXiv1511.08027OpenAlexW2962985772MaRDI QIDQ730364

Daniel Loughran, Arne Smeets

Publication date: 27 December 2016

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.08027

zbMATH Keywords

densityrational pointfibrationalgebraic varietyfamily

Mathematics Subject Classification ID

Rational points (14G05) Arithmetic ground fields (finite, local, global) and families or fibrations (14D10) Varieties over global fields (11G35)

Related Items (14)

Diagonal quartic surfaces with a Brauer–Manin obstruction ⋮ Number fields with prescribed norms (with an appendix by Yonatan Harpaz and Olivier Wittenberg) ⋮ Rational points on Del Pezzo surfaces of degree four ⋮ Une liste de problèmes ⋮ The elliptic sieve and Brauer groups ⋮ Local solubility for a family of quadrics over a split quadric surface ⋮ Gaps between prime divisors and analogues in Diophantine geometry ⋮ Schinzel hypothesis on average and rational points ⋮ ZERO-LOCI OF BRAUER GROUP ELEMENTS ON SEMI-SIMPLE ALGEBRAIC GROUPS ⋮ Sieving rational points on varieties ⋮ An Erdős-Kac law for local solubility in families of varieties ⋮ Serre's problem on the density of isotropic fibres in conic bundles ⋮ The size of the primes obstructing the existence of rational points ⋮ The density of fibres with a rational point for a fibration over hypersurfaces of low degree

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