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Field name	Details
Dewey Class	515
Title	Differential Analysis on Complex Manifolds ([Ebook]) / by Raymond O. Wells.
Author	Wells, R. O. (Raymond O'Neil) , 1940-
Other name(s)	SpringerLink (Online service)
Publication	New York, NY : Springer , 2008.
Physical Details	: online resource.
Series	Graduate texts in mathematics 0072-5285 ; ; 65
ISBN	9780387738925
Summary Note	In 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:
Contents note	Manifolds and Vector Bundles -- Sheaf Theory -- Differential Geometry -- Elliptic Operator Theory -- Compact Complex Manifolds -- Kodairaâs Projective Embedding Theorem -- Appendix by O. Garcia-Prada -- References -- Subject Index -- Author Index.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-0-387-73892-5
Links to Related Works	Subject References: Analysis . Global analysis . Global Analysis and Analysis on Manifolds . Global analysis (Mathematics) . Manifolds (Mathematics) . Authors: Wells, R. O. (Raymond O'Neil) 1940- . Corporate Authors: SpringerLink (Online service) . Series: Graduate texts in mathematics . GTM . Classification: 515 . 515 (DDC 23) .

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Differential Analysis on Complex Manifolds

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