Complex Manifolds

James Morrow, Kunihiko Kodaira

194 pages, parution le 27/04/2006

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Résumé

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 Kähler manifolds called Hodge manifolds is algebraic. Included are the semicontinuity theorems and the local completeness theorem of Kuranishi.

Readers are assumed 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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Sommaire

Preface
Definitions and Examples of Complex Manifolds
Sheaves and Cohomology
Geometry of Complex Manifolds
Applications of Elliptic Partial Differential Equations to Deformations
Bibliography
Index
Errata

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	PAPIER
Éditeur(s)	AMS Chelsea
Auteur(s)	James Morrow, Kunihiko Kodaira
Parution	27/04/2006
Nb. de pages	194
Format	18 x 26
Couverture	Relié
Poids	581g
Intérieur	Noir et Blanc
EAN13	9780821840559
ISBN13	978-0-8218-4055-9