A mixed fibration theorem for Hilbert irreducibility on non-proper varieties

2024/10/17 by Luger, Cedric · 2 citations
#14G40 #Algebraic Geometry (math.AG) #FOS: Mathematics #Primary: 14G99. Secondary: 14G05

paper · doi:10.48550/arxiv.2410.13741

Abstract

We prove that the weak Hilbert property ascends along a morphism of varieties over an arbitrary field of characteristic zero, under suitable assumptions.

Cited by

• Hilbert properties of varieties
• Fibration theorems for varieties with the weak Hilbert property

Related

• Fibration theorems for varieties with the weak Hilbert property
• Hilbert irreducibility for abelian varieties over function fields of characteristic zero
• Hilbert irreducibility for varieties with a nef tangent bundle
• Non-rational varieties with the Hilbert Property
• A higher dimensional Hilbert irreducibility theorem