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Simply connectedness and hyperbolicity.

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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]
Copyright of Journal of Number Theory is the property of Academic Press Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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DbLabel: Engineering Source
An: 192176185
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
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  Data: <searchLink fieldCode="DE" term="%22Mathematical+connectedness%22">Mathematical connectedness</searchLink><br /><searchLink fieldCode="DE" term="%22Algebraic+varieties%22">Algebraic varieties</searchLink><br /><searchLink fieldCode="DE" term="%22Complex+geometry%22">Complex geometry</searchLink>
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  Data: 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]
– Name: AbstractSuppliedCopyright
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  Data: <i>Copyright of Journal of Number Theory is the property of Academic Press Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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      – Type: doi
        Value: 10.1016/j.jnt.2026.01.005
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      – Code: eng
        Text: English
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        PageCount: 15
        StartPage: 194
    Subjects:
      – SubjectFull: Mathematical connectedness
        Type: general
      – SubjectFull: Algebraic varieties
        Type: general
      – SubjectFull: Complex geometry
        Type: general
    Titles:
      – TitleFull: Simply connectedness and hyperbolicity.
        Type: main
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            NameFull: Gasbarri, Carlo
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            NameFull: Rousseau, Erwan
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            NameFull: Turchet, Amos
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            NameFull: Wang, Julie Tzu-Yueh
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            – D: 01
              M: 08
              Text: Aug2026
              Type: published
              Y: 2026
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              Value: 285
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            – TitleFull: Journal of Number Theory
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