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008 081109s2008 nyu |b 001 0 eng d
020 _a9780387738918
020 _a0387738916
039 9 _a201402040059
_bVLOAD
_c201011230959
_dmalmash
_c200811101352
_dvenkatrajand
_c200811101352
_dvenkatrajand
_y200811091419
_zNoora
050 0 0 _aQA614.3
_b.W45 2008
100 1 _aWells, R. O.
_q(Raymond O'Neil),
_d1940-
_954042
245 1 0 _aDifferential Analysis on Complex Manifolds /
_cRaymond O. Wells, Jr. ; new appendix by Oscar GarcĂ­a-Prada.
250 _a3rd ed.
260 _aNew York :
_bSpringer-Verlag,
_cc2008.
300 _axiii, 299 p. ;
_c25 cm.
440 0 _aGraduate texts in mathematics ;
_v65
_91563
500 _a"Appendix : Moduli spaces and geometric structures": p. 241-283.
504 _aIncludes bibliographical references (p. 284-290) and indexes.
505 _aManifolds and Vector Bundles.- Sheaf Theory.- Differential Geometry.- Elliptic Operator Theory.- Compact Complex Manifolds.- Kodaira's Projective Embedding Theorem.- Appendix by O. Garcia-Prada.- References.- Subject Index.- Author Index.
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' 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 the developments in the field during the decades since the book appeared. ...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.
650 0 _aComplex manifolds.
_943514
650 0 _aDifferentiable manifolds.
_954043
650 0 _aGeometry, Algebraic.
_910151
942 _2lcc
_n0
_cBK
999 _c26157
_d26157