Differential Analysis on Complex Manifolds

✍ Scribed by R. O. Wells Jr. (auth.)

• Publisher: Springer New York
• Year: 1980
• Tongue: English
• Leaves: 314
• Series: Graduate Texts in Mathematics 65
• Edition: Softcover reprint of hardcover 3rd ed. 2008
• 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.

✦ Table of Contents

Front Matter....Pages i-x
Manifolds and Vector Bundles....Pages 1-35
Sheaf Theory....Pages 36-64
Differential Geometry....Pages 65-107
Elliptic Operator Theory....Pages 108-153
Compact Complex Manifolds....Pages 154-216
Kodaira’s Projective Embedding Theorem....Pages 217-240
Back Matter....Pages 241-262

✦ Subjects

Analysis