Simply connectedness and hyperbolicity
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.
Authors
- Amos Turchet (ORCID: https://orcid.org/0000-0003-3411-2521)
- Julie Tzu-Yueh Wang
- Erwan Rousseau
Institutions
- Roma Tre University (IT)
- Centre National de la Recherche Scientifique (FR)
- Université de Bretagne Occidentale (FR)
- Institute of Mathematics, Academia Sinica (TW)
- Laboratoire de Mathématiques de Bretagne Atlantique (FR)
- Université de Strasbourg (FR)
Publication Details
- Journal
- Journal of Number Theory
- Published
- 2026-02-04
- DOI
- https://doi.org/10.1016/j.jnt.2026.01.005
- Primary Topic
- Algebraic Geometry and Number Theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00