Differential Analysis on Complex Manifolds (Graduate Texts in Mathematics)
- Binding: Hardcover
- Author: Raymond O. Wells
- Publish Date: 2007-10-31
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. Wellsâs 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-Pradaâs appendix gives an overview of the developments in the field during the decades since the book appeared.