Differential analysis on complex manifolds
著者
書誌事項
Differential analysis on complex manifolds
（Graduate texts in mathematics, 65）
Springer-Verlag, c1980
- : us
- : gw
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注記
Bibliography: p. 241-247
Includes indexes
内容説明・目次
内容説明
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. Subsequent chapters then develop such topics as Hermitian exterior algebra and the Hodge-operator, harmonic theory on compact manifolds, differential operators on a Kahler manifold, the Hodge decomposition theorem on compact Kahler manifolds, the Hodge-Riemann bilinear relations on Kahler manifolds Griffiths's period mapping, quadratic transformations, and Kodaira's vanishing and embedding theorems.The third edition of this standard reference contains a new appendix by Oscar Garcia-Prada which 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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