In this paper we study vector bundles on varieties of dimension greater than one. To do this,
we apply the theory of equivariant model maps developed in the paper. We prove a …

By the Kobayashi-Hitchin correspondence, the authors of this book mean the isomorphy of
the moduli spaces Mst of stable holomorphic—resp. MHE of irreducible Hermitian-Einstein …

We define a parabolic flow of pluriclosed metrics. This flow is of the same family introduced
by the authors in [15]. We study the relationship of the existence of the flow and associated …

Writing long books is a laborious and impoverishing act of foolishness: expanding in five
hundred pages an idea that could be perfectly explained in a few minutes. A better …

We give a complete proof of Bogomolov's theorem on class VII 0 surfaces starting with the
idea of Li, Yau and Zheng to use Kobayashi-Hitchin correspondence. We show that …

Let (Mn, g) be a n-dimensional compact hermitian manifold, with n> 2.(M, g) will be called
projectively flat, if its curvature matrix is of the form 0= a/n, where a is a (1, l)-form. Note that …

Abstract The Enriques–Kodaira classification treats non-Kähler surfaces as a special case
within the Kodaira framework. We prove the classification results for non-Kähler complex …

We prove that any class VII surface with b 2= 1 has curves. This implies the “Global
Spherical Shell conjecture” in the case b 2= 1: Any minimal class VII surface with b 2= 1 …

We study automorphism groups and birational automorphism groups of compact complex
surfaces. We show that the automorphism group of such a surface is always Jordan, and the …

We describe the positive cone and the pseudo-effective cone of a non-K\" ahlerian surface.
We use these results for two types of applications:-Describe the set $\sigma (X) $ of possible …