TY  - BOOK
AU  - Angella,Daniele
TI  - Cohomological aspects in complex non-kahler geometry
T2  - Lecture notes in mathematics ; 
SN  - 9783319024400 (soft cover : alk. paper)
U1  - 515.946 23
PY  - 2014///
CY  - Switzerland
PB  - Springer
KW  - Complex manifolds.
KW  - Cohomology operations
KW  - Differential Geometry.
N1  - Includes bibliographical references and index; 1. Preliminaries on (almost-) complex manifolds --
2. Cohomology of complex manifolds --
3. Cohomology of nilmanifolds --
4. Cohomology of almost-complex manifolds--
References--
Index
N2  - This book provides 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 for compact Kahler manifolds. On the other, in order to further investigate any of these properties, it is natural to look for manifolds that do not have any Kahler structure. It is focused in particular on studying Bott-Chern and Aeppli cohomologies of compact complex manifolds. Several results concerning the computations of Dolbeault and Bott-Chern cohomologies on nilmanifolds are summarized, allowing readers to study explicit examples. Manifolds endowed with almost-complex structures, or with other special structures (such as, for example, symplectic, generalized-complex, etc.), are also considered
ER  -