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＜電子ブック＞
Cohomological Aspects in Complex Non-Kähler Geometry / by Daniele Angella
(Lecture Notes in Mathematics. ISSN:16179692 ; 2095)

版	1st ed. 2014.
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
著者標目	*Angella, Daniele author SpringerLink (Online service)
件　名	LCSH:Geometry, Differential LCSH:Functions of complex variables FREE:Differential Geometry FREE:Several Complex Variables and Analytic Spaces
一般注記	Preliminaries on (almost-) complex manifolds -- Cohomology of complex manifolds -- Cohomology of nilmanifolds -- Cohomology of almost-complex manifolds -- References 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 HTTP:URL=https://doi.org/10.1007/978-3-319-02441-7

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