Add to ORKGAbstract. In this paper we describe the construction of a new class of non-Kähler compact complex manifolds. They can be seen as a gen-eralization of Sankaran, OT and LVMB manifolds. Moreover, we give properties of these new spaces. Their Kodaira dimension is − ∞ and under a mild condition they have algebraic dimension equal to zero. In this article we construct a new family of non-Kähler complex compact manifolds by the combination of a method due to Bosio ([4]) and another due to Sankaran ([11]). The class of manifolds constructed in this paper appears as a generalization of already known examples of non-Kähler man
A class of nonpositively curved Kahler manifolds biholomorphic to the unit ball in C
6 pages, added reference to the Ueno's bookInternational audienceIf f is an automorphism of a compac...
We prove that any compact Kähler 3-dimensional manifold which has no nontrivial complex subvarietie...
21 pagesInternational audienceIn this paper we describe the construction of a new class of non-K ̈ah...
Abstract. We provide infinitely many examples of pairs of diffeomorphic, non simply connected Kähle...
. We study various classes of compact non-Kähler manifolds, many of which already exist in the liter...
Abstract. Let (Mn, g) be a compact Kähler manifold with nonpositive bisec-tional curvature. We show...
The first example of a compact manifold admitting both complex and symplectic structures but not adm...
In small dimensions, it is known that Kähler compact manifolds are deformation equivalent to smooth...
In this paper we study compact complex non-Kähler manifolds, in particular the holomorphically paral...
12 pages; minor modifications, reference addedInternational audienceUsing the theory of totally real...
The celebrated Kodaira theorem [6] says that a compact complex manifold is projective if and only if...
This talk is concerned with questions arising from the problem of classification of compact complex ...
We show that in every dimension greater than or equal to 4, there exist compact Kaehler manifolds wh...
The aim of this paper is to continue the study of Kodaira dimension for almost complex manifolds, fo...
A class of nonpositively curved Kahler manifolds biholomorphic to the unit ball in C
6 pages, added reference to the Ueno's bookInternational audienceIf f is an automorphism of a compac...
We prove that any compact Kähler 3-dimensional manifold which has no nontrivial complex subvarietie...
21 pagesInternational audienceIn this paper we describe the construction of a new class of non-K ̈ah...
Abstract. We provide infinitely many examples of pairs of diffeomorphic, non simply connected Kähle...
. We study various classes of compact non-Kähler manifolds, many of which already exist in the liter...
Abstract. Let (Mn, g) be a compact Kähler manifold with nonpositive bisec-tional curvature. We show...
The first example of a compact manifold admitting both complex and symplectic structures but not adm...
In small dimensions, it is known that Kähler compact manifolds are deformation equivalent to smooth...
In this paper we study compact complex non-Kähler manifolds, in particular the holomorphically paral...
12 pages; minor modifications, reference addedInternational audienceUsing the theory of totally real...
The celebrated Kodaira theorem [6] says that a compact complex manifold is projective if and only if...
This talk is concerned with questions arising from the problem of classification of compact complex ...
We show that in every dimension greater than or equal to 4, there exist compact Kaehler manifolds wh...
The aim of this paper is to continue the study of Kodaira dimension for almost complex manifolds, fo...
A class of nonpositively curved Kahler manifolds biholomorphic to the unit ball in C
6 pages, added reference to the Ueno's bookInternational audienceIf f is an automorphism of a compac...
We prove that any compact Kähler 3-dimensional manifold which has no nontrivial complex subvarietie...