Holomorphic curves in Base Spaces of Families of Polarized Manifolds

Holomorphic curves in Base Spaces of Families of Polarized Manifolds

For a smooth family \(V \to U\) of polarized manifolds with semi-ample canonical sheaves, we show the following result: any entire curve must be contained in the fibers of the classifying map from the base space \(U\) to the moduli space. This settles the Relative Isotriviality Conjecture, \cite[Con...

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Veröffentlicht in:arXiv.org 2020-10
Hauptverfasser: Lu, Steven, Sun, Ruiran, Zuo, Kang
Format: Artikel
Sprache:eng
Schlagworte:
Manifolds
Sheaves
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Zusammenfassung:For a smooth family \(V \to U\) of polarized manifolds with semi-ample canonical sheaves, we show the following result: any entire curve must be contained in the fibers of the classifying map from the base space \(U\) to the moduli space. This settles the Relative Isotriviality Conjecture, \cite[Conjecture 1.5]{DLSZ}.
ISSN:2331-8422