Differential Analysis on Complex Manifolds: Third Edition

Main subject categories: • Differential analysis on complex manifolds • Several complex variables and analytic spaces • Manifolds and vector bundles • Sheaf theory • Differential geometry • Elliptic operator theory • Compact complex manifolds • Kodaira's projective embedding theorem • Moduli spaces and geometric structures

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' 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.