G. Dloussky

activity

20022024

most citedOn Bott-Chern cohomology of compact complex surfaces

21 citations · 41 across the 12 of their papers we have counts for

collaborators

15 papers

math.CV2024★ 1 cited

On Classification of compact complex surfaces of class VII

Georges Dloussky

Let $S$ be a minimal compact complex surface with Betti numbers $b_{1} (S) = 1$ and $b_{2} (S) \geq 1$ i.e. a compact surface in class VII $_{0}^{+}$ . We show that if there exists a twisted logar…

math.DG2022

Twisted differentials and Lee classes of locally conformally symplectic complex surfaces

Vestislav Apostolov, Georges Dloussky

We study the set of deRham classes of Lee $1$ -forms of the locally conformally symplectic (LCS) structures taming the complex structure of a compact complex surface in the Kodaira…

math.AG2020

Non Kählerian surfaces with a cycle of rational curves

Georges Dloussky

Let $S$ be a compact complex surface in class VII $_{0}^{+}$ containing a cycle of rational curves $C = \sum D_{j}$ . Let $D = C + A$ be the maximal connected divisor containing $C$ . If there is…

math.CV2018★ 4 cited

Smooth deformations of singular contractions of class VII surfaces

Georges Dloussky, Andrei Teleman

We consider normal compact surfaces $Y$ obtained from a minimal class VII surface $X$ by contraction of a cycle $C$ of $r$ rational curves with $C^{2} < 0$ . Our main result states that…

math.DG2016

On the Lee classes of locally conformally symplectic complex surfaces

Vestislav Apostolov, Georges Dloussky

We prove that the deRham cohomology classes of Lee forms of locally conformally symplectic structures taming the complex structure of a compact complex surface $S$ with first Betti…

math.CV2015

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…