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Differential Analysis on Complex Manifolds (Hardcover, 3rd ed. 2008)
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Differential Analysis on Complex Manifolds (Hardcover, 3rd ed. 2008)
Series: Graduate Texts in Mathematics, 65
Expected to ship within 12 - 17 working days
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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' 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.
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