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Complex Manifolds

Complex Manifolds - 06 edition

ISBN13: 978-0821840559

Cover of Complex Manifolds 06 (ISBN 978-0821840559)
ISBN13: 978-0821840559
ISBN10: 082184055X
Cover type:
Edition/Copyright: 06
Publisher: American Mathematical Society
Published: 2006
International: No

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Complex Manifolds - 06 edition

ISBN13: 978-0821840559

James Morrow and Kunihiko Kodaira

ISBN13: 978-0821840559
ISBN10: 082184055X
Cover type:
Edition/Copyright: 06
Publisher: American Mathematical Society

Published: 2006
International: No
Summary

This volume serves as an introduction to the Kodaira-Spencer theory of deformations of complex structures. Based on notes taken by James Morrow from lectures given by Kunihiko Kodaira at Stanford University in 1965-1966, the book gives the original proof of the Kodaira embedding theorem, showing that the restricted class of Kahler manifolds called Hodge manifolds is algebraic. Included are the semicontinuity theorems and the local completeness theorem of Kuranishi. Readers areassumed to know some algebraic topology. Complete references are given for the results that are used from elliptic partial differential equations. The book is suitable for graduate students and researchers interested in abstract complex manifolds.

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