000 02657nam a22004695i 4500
001 978-3-319-02441-7
003 DE-He213
005 20150803155057.0
007 cr nn 008mamaa
008 131121s2014 gw | s |||| 0|eng d
020 _a9783319024417
_9978-3-319-02441-7
024 7 _a10.1007/978-3-319-02441-7
_2doi
050 4 _aQA641-670
072 7 _aPBMP
_2bicssc
072 7 _aMAT012030
_2bisacsh
082 0 4 _a516.36
_223
100 1 _aAngella, Daniele.
_eauthor.
245 1 0 _aCohomological Aspects in Complex Non-Kähler Geometry
_h[electronic resource] /
_cby Daniele Angella.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2014.
300 _aXXV, 262 p. 7 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v2095
505 0 _aPreliminaries on (almost-) complex manifolds -- Cohomology of complex manifolds -- Cohomology of nilmanifolds -- Cohomology of almost-complex manifolds -- References.
520 _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.
650 0 _aMathematics.
650 0 _aDifferential equations, partial.
650 0 _aGlobal differential geometry.
650 1 4 _aMathematics.
650 2 4 _aDifferential Geometry.
650 2 4 _aSeveral Complex Variables and Analytic Spaces.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319024400
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v2095
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-319-02441-7
912 _aZDB-2-SMA
912 _aZDB-2-LNM
999 _c6949
_d6949