Differential Analysis on Complex Manifolds / Edition 3

Differential Analysis on Complex Manifolds / Edition 3

by Raymond O. Wells, Oscar Garcia-Prada, Oscar Garcia-Prada, R. O. Wells
     
 

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ISBN-10: 0387738916

ISBN-13: 9780387738918

Pub. Date: 10/28/2007

Publisher: Springer New York

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

Overview

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.

Product Details

ISBN-13:
9780387738918
Publisher:
Springer New York
Publication date:
10/28/2007
Series:
Graduate Texts in Mathematics Series , #65
Edition description:
3rd ed. 2008
Pages:
304
Product dimensions:
6.10(w) x 9.25(h) x 0.03(d)

Table of Contents

* Manifolds and Vector Bundles
• Sheaf Theory
• Differential Geometry
• Elliptic Operator Theory
• Compact Complex Manifolds
• Kodaira’s Projective Embedding Theorem
• Appendix by O. Garcia-Prada
• References
• Subject Index
• Author Index

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