Differential Analysis on Complex Manifolds: Third Edition

Differential Analysis on Complex Manifolds: Third Edition

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English
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Main subject categories: • Differential analysis on complex manifolds • Several complex variables and analytic spaces • Manifolds and vector bundles • Sheaf theory • Differential geometry • Elliptic operator theory • Compact complex manifolds • Kodaira's projective embedding theorem • Moduli spaces and geometric structuresA 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' 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.
LF/320803/R

Data sheet

Name of the Author
Jr.
Oscar Garcia-Prada (New Appendix)
Raymond O. Wells
Language
English
Series
Graduate Texts in Mathematics [GTM]
ISBN
9780387738925
Release date
2008
Volume
65

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Differential Analysis on Complex Manifolds: Third Edition

Main subject categories: • Differential analysis on complex manifolds • Several complex variables and analytic spaces • Manifolds and vector bundles • Sheaf ...

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