DIFFERENTIAL ANALYSIS ON COMPLEX MANIFOLDS: v.65 (Graduate Texts in Mathematics) - Hardcover

Wells, R-O

 
9780387904191: DIFFERENTIAL ANALYSIS ON COMPLEX MANIFOLDS: v.65 (Graduate Texts in Mathematics)
Hardcover
ISBN 10: 0387904190 ISBN 13: 9780387904191
Verlag: Springer Verlag, 1999

Inhaltsangabe

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.

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Reseña del editor

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.

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Verlag
Springer Verlag
Erscheinungsdatum
1999
Sprache
Englisch
ISBN 10 
0387904190
ISBN 13 
9780387904191
Einband
Tapa dura
Anzahl der Seiten
285
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Verantwortliche Person
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