3 papers
math.AG2025
A mixed fibration theorem for Hilbert irreducibility on non-proper varieties
Cedric Luger
We prove that the weak Hilbert property ascends along a morphism of varieties over an arbitrary field of characteristic zero, under suitable assumptions.
math.AG2025
Products of varieties with many integral points
Cedric Luger
Corvaja and Zannier asked whether a smooth projective integral variety with a dense set of rational points over a number field satisfies the weak Hilbert property. We introduce an…
math.AG2024
Hilbert irreducibility for integral points on punctured linear algebraic groups
Cedric Luger
Let be a number field, let be a smooth integral variety over , and assume that there exists a finite set of finite places of such that the -integral points on…