21 citations · 41 across the 12 of their papers we have counts for
8 papers · 1 filter
On Classification of compact complex surfaces of class VII
Georges Dloussky
Let be a minimal compact complex surface with Betti numbers and i.e. a compact surface in class VII. We show that if there exists a twisted logar…
Smooth deformations of singular contractions of class VII surfaces
Georges Dloussky, Andrei Teleman
We consider normal compact surfaces obtained from a minimal class VII surface by contraction of a cycle of rational curves with . Our main result states that…
Special birational structures on non-Kähler complex surfaces
Georges Dloussky
We investigate the following conjecture: all compact non-Kähler complex surfaces admit birational structures. After Inoue-Kobayashi-Ochiai, the remaining cases to study are essenti…
From non-Kählerian surfaces to Cremona group of P^2(C)
Georges Dloussky
For any minimal compact complex surface S with n=b_2(S)>0 containing global spherical shells (GSS) we study the effectiveness of the 2n parameters given by the n blown up points. T…
Infinite bubbling in non-Kählerian geometry
Georges Dloussky, Andrei Teleman
In a holomorphic family of non-Kählerian compact manifolds, the holomorphic curves representing a fixed 2-homology class do not form a proper family in general. Th…
Quadratic forms and singularities of genus one or two
Georges Dloussky
We study singularities obtained by the contraction of the maximal divisor in compact (non kaehlerian) surfaces which contain global spherical shells. These singularities are of gen…