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On the one hand, the large number of developed analytic techniques makes it possible to prove strong cohomological properties for compact Kähler 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 Kähler structure.
We focus 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.
On the one hand, the large number of developed analytic techniques makes it possible to prove strong cohomological properties for compact Kähler 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 Kähler structure.
We focus 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.
Provides detailed examples
Explicit computations of cohomologies on complex manifolds
Coherent summary of existing literature
Includes supplementary material: [...]
Preliminaries on (almost-) complex manifolds.- Cohomology of complex manifolds.- Cohomology of nilmanifolds.- Cohomology of almost-complex manifolds.- References.
| Erscheinungsjahr: | 2013 |
|---|---|
| Fachbereich: | Geometrie |
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Seiten: | 292 |
| Reihe: | Lecture Notes in Mathematics |
| Inhalt: |
xxv
262 S. 7 s/w Illustr. 262 p. 7 illus. |
| ISBN-13: | 9783319024400 |
| ISBN-10: | 331902440X |
| Sprache: | Englisch |
| Ausstattung / Beilage: | Paperback |
| Einband: | Kartoniert / Broschiert |
| Autor: | Angella, Daniele |
| Auflage: | 2014 |
| Hersteller: |
Springer International Publishing
Lecture Notes in Mathematics |
| Maße: | 235 x 155 x 16 mm |
| Von/Mit: | Daniele Angella |
| Erscheinungsdatum: | 03.12.2013 |
| Gewicht: | 0,446 kg |
Provides detailed examples
Explicit computations of cohomologies on complex manifolds
Coherent summary of existing literature
Includes supplementary material: [...]
Preliminaries on (almost-) complex manifolds.- Cohomology of complex manifolds.- Cohomology of nilmanifolds.- Cohomology of almost-complex manifolds.- References.
| Erscheinungsjahr: | 2013 |
|---|---|
| Fachbereich: | Geometrie |
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Seiten: | 292 |
| Reihe: | Lecture Notes in Mathematics |
| Inhalt: |
xxv
262 S. 7 s/w Illustr. 262 p. 7 illus. |
| ISBN-13: | 9783319024400 |
| ISBN-10: | 331902440X |
| Sprache: | Englisch |
| Ausstattung / Beilage: | Paperback |
| Einband: | Kartoniert / Broschiert |
| Autor: | Angella, Daniele |
| Auflage: | 2014 |
| Hersteller: |
Springer International Publishing
Lecture Notes in Mathematics |
| Maße: | 235 x 155 x 16 mm |
| Von/Mit: | Daniele Angella |
| Erscheinungsdatum: | 03.12.2013 |
| Gewicht: | 0,446 kg |
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