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2021•Annales de l’institut FourierOpen access

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

Efthymios Sofos, Erik Visse

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Abstract

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

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

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Available abstract

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

Key concepts: Fibration, Degree (music), Point (geometry), Mathematics, Pure mathematics, Geometry, Physics, Acoustics

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