Cohomological Aspects in Complex Non-Kähler Geometry

• Main Author: Angella, Daniele (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2014.
• Series: Lecture Notes in Mathematics, 2095
• Subjects: Mathematics.; Functions of complex variables.; Differential geometry.; Differential Geometry.; Several Complex Variables and Analytic Spaces.

In these notes, we provide a summary of recent results on the cohomological properties of compact complex manifolds not endowed with a Kähler structure. On the one hand, the large number of developed analytic techniques makes it possible to prove strong cohomological properties for compact Kähler ma...

Table of Contents:

• Preliminaries on (almost-) complex manifolds
• Cohomology of complex manifolds
• Cohomology of nilmanifolds
• Cohomology of almost-complex manifolds
• References.