Compactification of Kähler manifolds with negative Ricci curvature
type: Item
instance of: scholarly article
title: Compactification of Kähler manifolds with negative Ricci curvature
zbMATH Open document ID: 0764.32007
DOI: 10.1007/BF01243901
author: Sai-Kee Yeung
published in: Inventiones Mathematicae
publication date: 1992-09-27T00:00:00Z
full work available at URL: https://eudml.org/doc/143930
review text: This paper establishes the following Theorem: If \(X\) is a complete Kähler manifold of finite volume, bounded Riemannian sectional curvature and negative Ricci curvature, it is biholomorphic to some Zariski-open subset of some projective manifold. This was previously known in the special case where \(X\) has finite topology (Mok-Zhong). Building on this and previous results of himself, the author reduces the proof to an ingenious application of the maximum principle for subharmonic functions.
Mathematics Subject Classification ID: 32J05
Mathematics Subject Classification ID: 53C55
zbMATH DE Number: 59790
zbMATH Keywords: Kähler manifolds
zbMATH Keywords: compactification
zbMATH Keywords: negative Ricci curvature
reviewed by: Frédéric Campana
MaRDI profile type: Publication
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cites work: Compactification of complete Kähler surfaces with negative Ricci curvature
Wikidata QID: Q125862291
description: scientific article; zbMATH DE number 59790