Projectivity criteria for Kähler morphisms

Fuente: arXiv
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Hauptverfasser: Claudon, Benoît, Höring, Andreas
Format: Preprint
Veröffentlicht: 2024
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author Claudon, Benoît
Höring, Andreas
author_facet Claudon, Benoît
Höring, Andreas
contents In this short note we prove two projectivity criteria for fibrations between mildly singular compact Kähler spaces. They are the relative versions of the celebrated criteria of Kodaira and Moishezon. As an application we obtain that the MRC fibration always has a model that is a projective morphism.
format Preprint
id arxiv_https___arxiv_org_abs_2404_13927
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Projectivity criteria for Kähler morphisms
Claudon, Benoît
Höring, Andreas
Algebraic Geometry
Complex Variables
32J25, 32Q15, 14E30
In this short note we prove two projectivity criteria for fibrations between mildly singular compact Kähler spaces. They are the relative versions of the celebrated criteria of Kodaira and Moishezon. As an application we obtain that the MRC fibration always has a model that is a projective morphism.
title Projectivity criteria for Kähler morphisms
topic Algebraic Geometry
Complex Variables
32J25, 32Q15, 14E30
url https://arxiv.org/abs/2404.13927