The holomorphic limit of Kahler manifolds

Fuente: arXiv
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Autore principale: Mu-Lin, Li
Natura: Preprint
Pubblicazione: 2024
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author Mu-Lin, Li
author_facet Mu-Lin, Li
contents In this paper, we study the deformation limit of compact Kahler manifolds. We show that the limit to be a manifold in the Fujiki class C is equivalent to the finiteness of the upper volume. We also prove the Streets-Tian conjecture for a special case.
format Preprint
id arxiv_https___arxiv_org_abs_2409_19957
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle The holomorphic limit of Kahler manifolds
Mu-Lin, Li
Algebraic Geometry
Complex Variables
In this paper, we study the deformation limit of compact Kahler manifolds. We show that the limit to be a manifold in the Fujiki class C is equivalent to the finiteness of the upper volume. We also prove the Streets-Tian conjecture for a special case.
title The holomorphic limit of Kahler manifolds
topic Algebraic Geometry
Complex Variables
url https://arxiv.org/abs/2409.19957