000 03170nam a22004815i 4500
001 978-0-387-73892-5
003 DE-He213
005 20161121231207.0
007 cr nn 008mamaa
008 100715s2008 xxu| s |||| 0|eng d
020 _a9780387738925
_9978-0-387-73892-5
024 7 _a10.1007/978-0-387-73892-5
_2doi
050 4 _aQA299.6-433
072 7 _aPBK
_2bicssc
072 7 _aMAT034000
_2bisacsh
082 0 4 _a515
_223
100 1 _aWells, Raymond O.
_eauthor.
245 1 0 _aDifferential Analysis on Complex Manifolds
_h[electronic resource] /
_cby Raymond O. Wells.
264 1 _aNew York, NY :
_bSpringer New York,
_c2008.
300 _aXIV, 304 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aGraduate Texts in Mathematics,
_x0072-5285 ;
_v65
505 0 _aManifolds and Vector Bundles -- Sheaf Theory -- Differential Geometry -- Elliptic Operator Theory -- Compact Complex Manifolds -- Kodaira's Projective Embedding Theorem.
520 _aIn developing the tools necessary for the study of complex manifolds, this comprehensive, well-organized treatment presents in its opening chapters a detailed survey of recent progress in four areas: geometry (manifolds with vector bundles), algebraic topology, differential geometry, and partial differential equations. Subsequent chapters then develop such topics as Hermitian exterior algebra and the Hodge *-operator, harmonic theory on compact manifolds, differential operators on a Kahler manifold, the Hodge decomposition theorem on compact Kahler manifolds, the Hodge-Riemann bilinear relations on Kahler manifolds, Griffiths's period mapping, quadratic transformations, and Kodaira's vanishing and embedding theorems. The third edition of this standard reference contains a new appendix by Oscar Garcia-Prada which gives an overview of certain developments in the field during the decades since the book first appeared. From reviews of the 2nd Edition: "..the new edition of Professor Wells' book is timely and welcome...an excellent introduction for any mathematician who suspects that complex manifold techniques may be relevant to his work." - Nigel Hitchin, Bulletin of the London Mathematical Society "Its purpose is to present the basics of analysis and geometry on compact complex manifolds, and is already one of the standard sources for this material." - Daniel M. Burns, Jr., Mathematical Reviews.
650 0 _aMathematics.
650 0 _aMathematical analysis.
650 0 _aAnalysis (Mathematics).
650 0 _aGlobal analysis (Mathematics).
650 0 _aManifolds (Mathematics).
650 1 4 _aMathematics.
650 2 4 _aAnalysis.
650 2 4 _aGlobal Analysis and Analysis on Manifolds.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780387738918
830 0 _aGraduate Texts in Mathematics,
_x0072-5285 ;
_v65
856 4 0 _uhttp://dx.doi.org/10.1007/978-0-387-73892-5
912 _aZDB-2-SMA
950 _aMathematics and Statistics (Springer-11649)
999 _c509946
_d509946