The density of fibres with a rational point for a fibration over hypersurfaces 
of low degree

Sofos, Efthymios; Visse-Martindale, Erik

doi:10.5802/aif.3413

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Journal Article

The density of fibres with a rational point for a fibration over hypersurfaces of low degree

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Visse-Martindale, Erik
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.5802/aif.3413
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https://doi.org/10.48550/arXiv.1804.05768
(Preprint)

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Sofos-Visse_The density of fibres with a rational point for a fibration_2021.pdf
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Citation

Sofos, E., & Visse-Martindale, E. (2021). The density of fibres with a rational point for a fibration over hypersurfaces of low degree. Annales de l'Institut Fourier, 71(2), 679-709. doi:10.5802/aif.3413.

Cite as: https://hdl.handle.net/21.11116/0000-000B-6857-F

Abstract

We prove asymptotics for the proportion of fibres with a rational point in a
conic bundle fibration. The basis of the fibration is a general hypersurface of
low degree.