Differential analysis on complex manifolds
著者
書誌事項
Differential analysis on complex manifolds
（Graduate texts in mathematics, 65）
Springer-Verlag, c2008
3rd ed
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注記
"Appendix : Moduli spaces and geometric structures": p. 241-283
Includes bibliographical references (p. 281-290) and indexes
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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