Divisibility of polynomials and degeneracy of integral points

Autor:	Erwan Rousseau, Amos Turchet, Julie Tzu-Yueh Wang
Rok vydání:	2021
Předmět:	Mathematics - Algebraic Geometry Mathematics - Number Theory General Mathematics FOS: Mathematics Number Theory (math.NT) Algebraic Geometry (math.AG) 11J87 11J97 14G05 32A22
DOI:	10.48550/arxiv.2106.11337
Popis:	We prove several statements about arithmetic hyperbolicity of certain blow-up varieties. As a corollary we obtain multiple examples of simply connected quasi-projective varieties that are pseudo-arithmetically hyperbolic. This generalizes results of Corvaja and Zannier obtained in dimension 2 to arbitrary dimension. The key input is an application of the Ru-Vojta's strategy. We also obtain the analogue results for function fields and Nevanlinna theory with the goal to apply them in a future paper in the context of Campana's conjectures. Comment: 26 pages. Comments welcome
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5ef3102050789102ff320af519bb13b9 Zobrazit plný text záznamu