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100   $a20131121d2014      u|             0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aCohomological Aspects in Complex Non-Kähler Geometry$b[electronic resource] /$fby Daniele Angella
205   $a1st ed. 2014.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2014.
215   $a1 online resource (XXV, 262 p. 7 illus.) 
225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v2095
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a3-319-02440-X 
327   $aPreliminaries on (almost-) complex manifolds -- Cohomology of complex manifolds -- Cohomology of nilmanifolds -- Cohomology of almost-complex manifolds -- References.
330   $aIn these notes, we provide a summary of recent results on the cohomological properties of compact complex manifolds not endowed with a Kähler structure. On the one hand, the large number of developed analytic techniques makes it possible to prove strong cohomological properties for compact Kähler manifolds. On the other, in order to further investigate any of these properties, it is natural to look for manifolds that do not have any Kähler structure. We focus in particular on studying Bott-Chern and Aeppli cohomologies of compact complex manifolds. Several results concerning the computations of Dolbeault and Bott-Chern cohomologies on nilmanifolds are summarized, allowing readers to study explicit examples. Manifolds endowed with almost-complex structures, or with other special structures (such as, for example, symplectic, generalized-complex, etc.), are also considered.
410  0$aLecture Notes in Mathematics,$x0075-8434 ;$v2095
606   $aDifferential geometry
606   $aFunctions of complex variables
606   $aDifferential Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21022
606   $aSeveral Complex Variables and Analytic Spaces$3https://scigraph.springernature.com/ontologies/product-market-codes/M12198
615  0$aDifferential geometry.
615  0$aFunctions of complex variables.
615 14$aDifferential Geometry.
615 24$aSeveral Complex Variables and Analytic Spaces.
676   $a514.223
700   $aAngella$b Daniele$4aut$4http://id.loc.gov/vocabulary/relators/aut$0524797
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a996198772203316
996   $aCohomological aspects in complex non-Kähler geometry$9820739
997   $aUNISA