Holomorphic Deformations of Compact Kähler Hyperbolic Manifolds

Fuente: arXiv
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Main Author: Khelifati, Abdelouahab
Format: Preprint
Published: 2025
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_version_ 1866916920207343616
author Khelifati, Abdelouahab
author_facet Khelifati, Abdelouahab
contents The goal of this paper is to study the deformations of compact Kähler hyperbolic manifolds. We propose slightly modified versions of Kähler hyperbolicity as a tool to provide a first step towards investigating the deformation openness of Gromov's classical notion of Kähler hyperbolicity.
format Preprint
id arxiv_https___arxiv_org_abs_2508_07096
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Holomorphic Deformations of Compact Kähler Hyperbolic Manifolds
Khelifati, Abdelouahab
Algebraic Geometry
Complex Variables
Differential Geometry
The goal of this paper is to study the deformations of compact Kähler hyperbolic manifolds. We propose slightly modified versions of Kähler hyperbolicity as a tool to provide a first step towards investigating the deformation openness of Gromov's classical notion of Kähler hyperbolicity.
title Holomorphic Deformations of Compact Kähler Hyperbolic Manifolds
topic Algebraic Geometry
Complex Variables
Differential Geometry
url https://arxiv.org/abs/2508.07096