Simply connectedness and hyperbolicity
Algebraic Geometry
2023-08-28 v1 Complex Variables
Number Theory
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 the first examples, in any dimension, of smooth simply connected nonisotrivial projective varieties of general type that satisfy the function field Lang's conjecture.
Keywords
Cite
@article{arxiv.2308.13240,
title = {Simply connectedness and hyperbolicity},
author = {Erwan Rousseau and Carlo Gasbarri and Amos Turchet and Julie Tzu-Yueh Wang},
journal= {arXiv preprint arXiv:2308.13240},
year = {2023}
}