4 problems

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Strong Campana conjecture on virtual nilpotence of class two
Let $X$ be a smooth quasi-projective variety that is either special or $h$ -special, using the definitions in the source. A group is virtually nilpotent of class $2$ if it has a fin…
Conjectureopencampana-specialness fundamental-groups nilpotent-groupsarXiv posted 2 days ago
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Revised Campana conjecture on virtually nilpotent fundamental groups
Let $X$ be a smooth quasi-projective variety. It is special or $h$ -special according to the notions defined in the source, and a group is virtually nilpotent if it has a nilpotent…
Conjectureopenalgebraic-geometry campana-specialness fundamental-groupsarXiv posted 2 days ago
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The puncturing conjectures for specialness and the weak Hilbert property
The puncturing conjectures. The following statements hold:
Conjectureopencampana-specialness puncturing weak-hilbert-propertyarXiv posted 2 days ago
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Campana–Corvaja–Zannier conjecture on the weak-Hilbert property
Let $X$ be a smooth proper geometrically connected variety over a finitely generated field $k$ of characteristic zero. Campana–Corvaja–Zannier conjecture. The following are equival…
Conjectureopencampana-specialness hilbert-property rational-pointsarXiv posted 2 days ago

Strong Campana conjecture on virtual nilpotence of class two