Cohomological Aspects in Complex Non-Kähler Geometry / by Daniele Angella
(Lecture Notes in Mathematics ; 2095)
| データ種別 | 電子ブック |
|---|---|
| 出版者 | Cham : Springer International Publishing : Imprint: Springer |
| 出版年 | 2014 |
| 本文言語 | 英語 |
| 大きさ | XXV, 262 p. 7 illus : online resource |
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| 内容注記 | Preliminaries on (almost-) complex manifolds Cohomology of complex manifolds Cohomology of nilmanifolds Cohomology of almost-complex manifolds References |
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| 一般注記 | 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 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 |
| 著者標目 | *Angella, Daniele author SpringerLink (Online service) |
| 件 名 | LCSH:Mathematics LCSH:Functions of complex variables LCSH:Differential geometry FREE:Mathematics FREE:Differential Geometry FREE:Several Complex Variables and Analytic Spaces |
| 分 類 | DC23:516.36 |
| 巻冊次 | ISBN:9783319024417 
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| ISBN | 9783319024417 |
| URL | http://dx.doi.org/10.1007/978-3-319-02441-7 |
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