Complex Manifolds (AMS Chelsea Publishing) - Hardcover

Morrow, James; Kodaira, Kunihiko

Hardcover

ISBN 10: 082184055X ISBN 13: 9780821840559

Publisher: American Mathematical Society, 2006

Synopsis

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 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.

About this edition

• Publisher: American Mathematical Society
• Publication date: 2006
• ISBN 10: 082184055X
• ISBN 13: 9780821840559
• Binding: Hardcover
• Number of pages: 194