Authors:
- Provides detailed examples
- Explicit computations of cohomologies on complex manifolds
- Coherent summary of existing literature
- Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Mathematics (LNM, volume 2095)
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Table of contents (4 chapters)
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Front Matter
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Back Matter
About this book
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.
Authors and Affiliations
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Dipartimento di Matematica, Università di Pisa, Pisa, Italy
Daniele Angella
Bibliographic Information
Book Title: Cohomological Aspects in Complex Non-Kähler Geometry
Authors: Daniele Angella
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-319-02441-7
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2014
Softcover ISBN: 978-3-319-02440-0Published: 03 December 2013
eBook ISBN: 978-3-319-02441-7Published: 22 November 2013
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: XXV, 262
Number of Illustrations: 7 b/w illustrations
Topics: Differential Geometry, Several Complex Variables and Analytic Spaces