Sur les compactifications équivariantes des groupes commutatifs. (On equivariant compactifications of commutative groups)
type: Item
instance of: scholarly article
title: Sur les compactifications équivariantes des groupes commutatifs. (On equivariant compactifications of commutative groups)
zbMATH Open document ID: 0644.32015
author: François Lescure
publication date: 1988-01-01T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/74818
review text: Soit X une variété \({\mathbb{C}}\)-analytique quasi-homogène sous l'action d'un groupe de Lie complexe commutatif. On démontre que X admet une modification lisse kählérienne si et seulement si \(h^{1,0}(X)=h^{0,1}(X)\); on en déduit aussi un critère d'algèbricité.
Mathematics Subject Classification ID: 32M05
Mathematics Subject Classification ID: 32J05
Mathematics Subject Classification ID: 32J99
zbMATH DE Number: 4049994
zbMATH Keywords: commutative Lie group
zbMATH Keywords: quasi-homogeneous complex analytic manifold
zbMATH Keywords: compactification
MaRDI profile type: Publication
OpenAlex ID: W2320423867
cites work: Über die Albanese-Abbildung einer fasthomogenen Kähler-Mannigfaltigkeit
cites work: Sur les variétés analytiques complexes
cites work: Q4195061
cites work: Q5515607
cites work: Q4142041
cites work: Q3342885
cites work: Compactifications équivariantes par des courbes
cites work: Q4118438
cites work: Q2550561
cites work: Q5335878
cites work: Lectures on torus embeddings and applications. (Based on joint work with Katsuya Miyake.)
cites work: Fasthomogene Kählermannigfaltigkeiten mit verschwindender erster Bettizahl
cites work: Classification theory of algebraic varieties and compact complex spaces. Notes written in collaboration with P. Cherenack
DOI: 10.5802/AIF.1150
published in: Annales de l’institut Fourier
Recommended article: Equivariant compactifications of reductive groups
Recommended article: Q5842164
Recommended article: Some remarks on compactifications of commutative algebraic groups
Recommended article: Equivariant \(K\)-theory of compactifications of algebraic groups
Recommended article: Equivariant compactifications of a nilpotent group by \(G/P\)
Recommended article: Q4067223
Recommended article: Q3230410
Recommended article: Q4067222
description: scientific article; zbMATH DE number 4049994