Description
Springer Differential Analysis on Complex Manifolds by Appendix by Oscar Garcia-Prada, Raymond O. Wells
A brand new appendix by Oscar Garcia-Prada graces this third edition of a classic work. 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. Wells's superb analysis also gives details of the Hodge-Riemann bilinear relations on Kahler manifolds, Griffiths's period mapping, quadratic transformations, and Kodaira's vanishing and embedding theorems. Oscar Garcia-Prada's appendix gives an overview of the developments in the field during the decades since the book appeared._x000D_ Table of contents :- _x000D_
* Manifolds 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_x000D_