Differential Analysis on Complex Manifolds (Graduate Texts in Mathematics)
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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 the developments in the field during the decades since the book appeared.
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- Differential Analysis on Complex Manifolds (Graduate Texts in Mathematics, 65)Wells, Raymond O.Edition:Softcover reprint of hardcover 3rd ed. 2008ISBN-13:9781441925350
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- Differential Analysis on Complex Manifolds (Graduate Texts in Mathematics, 65)Wells, Raymond O.Edition:Softcover reprint of hardcover 3rd ed. 2008ISBN-13:9781441925350
- Differential Analysis on Complex ManifoldsR. O. Wells Jr.Edition:F First EditionISBN-13:9780132115087
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