Differential Analysis on Complex Manifolds

Raymond O. Wells

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Language: English

Published by Springer, 2010

144192535X / 9781441925350

Series: Book 54 of 180 - Graduate Texts in Mathematics

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Druck auf Anfrage Neuware - Printed after ordering - 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. From a review of the 2nd Edition: '.the new edition ofProfessor Wells' book is timely and welcome.an excellent introduction for any mathematician who suspects that complex manifold techniques may be relevant to his work.' Nigel Hitchin, Bulletin of the London Mathematical Society 'Its purpose is to present the basics of analysis and geometry on compact complex manifolds, and is already one of the standard sources for this material.'.…

Seller Inventory # 9781441925350

Title
Differential Analysis on Complex Manifolds
Author
Raymond O. Wells
Publisher
Springer
Publication year
2010
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
144192535X
ISBN 13
9781441925350
Edition
3rd Edition
Item weight
482 grams
Dimensions
235x155x18 mm
Series
Book 54 of 180: Graduate Texts in Mathematics

AHA-BUCH GmbH

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