In these notes, we provide a summary of recent results on the cohomological properties of compact complex manifolds not endowed with a Kahler structure. On the one hand, the large number of developed analytic techniques makes it possible to prove strong cohomological properties …
In the study of algebraic/analytic varieties a key aspect is the description of the invariants of their singularities. This book targets the challenging non-isolated case. Let f be a complex analytic hypersurface germ in three variables whose zero set has a 1-dimensional singula…
Compact complex surfaces
by Barth, Wolf
fromErgebnisse der mathematik und ihrer grenzgebiete
In the 19 years which passed since the first edition was published, several important developments have taken place in the theory of surfaces. The most sensational one concerns the differentiable structure of surfaces. Twenty years ago very little was known about differentiable …
Compact complex surfaces
by Barth, Wolf
fromErgebnisse der mathematik und ihrer grenzgebiete