Differential Analysis On Complex Manifolds

✍ Scribed by Raymond O. Wells, Oscar Garcia-Prada

• Publisher: Springer
• Year: 2010
• Tongue: English
• Leaves: 319
• Series: Graduate Texts in Mathematics 65
• Edition: 3rd
• Category: Library

✦ Synopsis

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.