Simply connectedness and hyperbolicity

Journal of Number Theory 2026 Open access

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Authors: Carlo Gasbarri, Erwan Rousseau, Amos Turchet, Julie Tzu‐Yueh Wang
DOI: 10.1016/j.jnt.2026.01.005
Cited by: 0
References: 19

Abstract

We generalize to arbitrary dimension our previous construction of simply connected weakly-special but not special varieties. We show that they satisfy the function field and complex analytic part of Campana's conjecture. Moreover, we give examples, in any dimension, of smooth simply connected nonisotrivial projective varieties of general type that satisfy the function field Lang and Vojta conjectures with an explicit exceptional set.

Fields of Study & Subjects

Advanced Differential Equations and Dynamical Systems Mathematical Dynamics and Fractals

Publication details

Journal / source
Journal of Number Theory
Volume
285
Pages
194–208
Publication date
4 February 2026
Language
EN