Complex manifolds
Author(s)
Bibliographic Information
Complex manifolds
AMS Chelsea Pub., 2006
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Note
Reprinted with errata by the American Mathematical Society, 2006
Originally published: New York : Holt, Rinehart and Winston, 1971
Bibliography: p. 186-187
Description and Table of Contents
Description
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.
Table of Contents
Definitions and examples of complex manifolds Sheaves and cohomology Geometry of complex manifolds Applications of elliptic partial differential equations to deformations Bibliography Index Errata.
by "Nielsen BookData"