English

Projectivity criteria for K\"ahler morphisms

Algebraic Geometry 2024-04-23 v1 Complex Variables

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.

Keywords

Cite

@article{arxiv.2404.13927,
  title  = {Projectivity criteria for K\"ahler morphisms},
  author = {Benoît Claudon and Andreas Höring},
  journal= {arXiv preprint arXiv:2404.13927},
  year   = {2024}
}

Comments

11 pages

R2 v1 2026-06-28T16:01:51.712Z