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Corpus ID: 239010017

Comment on: Dense entire curves .. [arXiv:1905.01104], by F. Campana and J. Winkelmann

@inproceedings{Kollar2021CommentOD,
title={Comment on: Dense entire curves .. [arXiv:1905.01104], by F. Campana and J. Winkelmann},
author={J'anos Koll'ar},
year={2021}
}

By a finite cover we mean a dominant, finite morphism from an irreducible variety Y to X ; thus ramification is allowed. If X is rationally connected, then it is simply connected, hence a nontrivial cover must have ramification. The open (resp. closed) complex unit disc is denoted by D (resp. D). A map g : D→ X is holomorphic if it extends holomorphically to a larger disc. The φ : C → X variant of Theorem 1 is called the Nevanlinna version of the Hilbert property in [CW20], following [CZ17, §2… Expand

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The Lefschetz hyperplane theorem says that if X ⊂ ∙ N is a smooth projective variety over ℂ and C ⊂ X is a smooth curve which is a complete intersection of hyperplanes with X then
$$ \pi… Expand

We prove that for any complex manifold X, the set of all holomorphic maps from the unit disc to X whose images are everywhere dense in X forms a dense subset in the space of all holomorphic maps from… Expand