A higher dimensional Hilbert irreducibility theorem

Autor:	Bresciani, Giulio
Rok vydání:	2021
Předmět:	Mathematics - Number Theory Mathematics - Algebraic Geometry
Druh dokumentu:	Working Paper
Popis:	Assuming the weak Bombieri-Lang conjecture, we prove that a generalization of Hilbert's irreducibility theorem holds for families of geometrically mordellic varieties (for instance, families of hyperbolic curves). As an application we prove that, assuming Bombieri-Lang, there are no polynomial bijections $\mathbb{Q} \times \mathbb{Q} \to \mathbb{Q}$.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2101.01090 Zobrazit plný text záznamu View this record from Arxiv