Simply connectedness and hyperbolicity.

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Bibliographic Details
Title: Simply connectedness and hyperbolicity.
Authors: Gasbarri, Carlo1 (AUTHOR) gasbarri@math.unistra.fr, Rousseau, Erwan2 (AUTHOR) erwan.rousseau@univ-brest.fr, Turchet, Amos1,3 (AUTHOR) amos.turchet@uniroma3.it, Wang, Julie Tzu-Yueh4 (AUTHOR) jwang@math.sinica.edu.tw
Source: Journal of Number Theory. Aug2026, Vol. 285, p194-208. 15p.
Subjects: Mathematical connectedness, Algebraic varieties, Complex geometry
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. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
Description
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. [ABSTRACT FROM AUTHOR]
ISSN:0022314X
DOI:10.1016/j.jnt.2026.01.005