| 书目名称 | Cohomological Aspects in Complex Non-Kähler Geometry | | 编辑 | Daniele Angella | | 视频video | http://file.papertrans.cn/230/229244/229244.mp4 | | 概述 | Provides detailed examples.Explicit computations of cohomologies on complex manifolds.Coherent summary of existing literature.Includes supplementary material: | | 丛书名称 | Lecture Notes in Mathematics | | 图书封面 |  | | 描述 | .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.. | | 出版日期 | Book 2014 | | 关键词 | 32Q99, 53C55, 32Q60, 32C35, 57T15, 32G05, 32G07, 53D05, 53D18; Almost-complex structures; Cohomology t | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-02441-7 | | isbn_softcover | 978-3-319-02440-0 | | isbn_ebook | 978-3-319-02441-7Series ISSN 0075-8434 Series E-ISSN 1617-9692 | | issn_series | 0075-8434 | | copyright | Springer International Publishing Switzerland 2014 |
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