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Mathematics > Algebraic Geometry

Title: Projectivity criteria for Kähler morphisms

Authors: Benoît Claudon, Andreas Höring
(Submitted on 22 Apr 2024)
Abstract: In this short note we prove two projectivity criteria for fibrations between mildly singular compact K\"ahler 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.
Comments: 11 pages
Subjects: Algebraic Geometry (math.AG); Complex Variables (math.CV)
MSC classes: 32J25, 32Q15, 14E30
Cite as: arXiv:2404.13927 [math.AG]
  (or arXiv:2404.13927v1 [math.AG] for this version)

Submission history

From: Andreas Höring [view email]
[v1] Mon, 22 Apr 2024 07:04:47 GMT (15kb)
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