書誌事項

Differential analysis on complex manifolds

Raymond O. Wells, Jr. ; new appendix by Oscar Garcia-Prada

(Graduate texts in mathematics, 65)

Springer-Verlag, c2008

3rd ed

  • : [pbk]

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注記

"Appendix : Moduli spaces and geometric structures": p. 241-283

Includes bibliographical references (p. 284-290) and index

内容説明・目次

内容説明

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.

目次

* 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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