Differential Analysis on Complex Manifolds

Graduate Texts in Mathematics #65

by Raymond O'Neil 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 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.

Genres: Mathematics, Geometry

312 pages, Hardcover

First published January 31, 1980

Reviews

[Rahul Madhavan · Rating 5 out of 5]

Hard topic. Good organization of contents.