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Comptes Rendus Mathématique
Volume 349, n° 19-20
pages 1089-1092 (novembre 2011)
Doi : 10.1016/j.crma.2011.09.001
Received : 28 July 2011 ;  accepted : 6 September 2011
Classes of compact non-Kähler manifolds
Classes de variétés compactes non Kähleriennes
 

Lucia Alessandrini
Dipartimento di Matematica, Università di Parma, Parco Area delle Scienze, 43124 Parma, Italy 

Abstract

We study various classes of compact non-Kähler manifolds, many of which already exist in the literature, which are characterized by positive forms and currents. The goal of the note is to present an overview that highlights the links between the various classes and raises some interesting problems.

The full text of this article is available in PDF format.
Résumé

Nous étudions différentes classes de variétés compactes non Kähleriennes, dont beaucoup existent déjà dans la littérature, qui se caractérisent par des formes et des courants positifs. Le but de la note est de présenter une vue dʼensemble mettant en évidence les liens entre les différentes classes et pointant quelques problèmes intéressants.

The full text of this article is available in PDF format.


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