ENGLISH

Complex manifolds

By James Morrow

Book information

Publisher
Holt, Rinehart and Winston
Year
1971
ISBN
0030809827, 9780030809828
Language
english
Format
DJVU
Filesize
4 MB (3691331 bytes)
Series
Athena series selected topics in mathematics
Pages
195\195
Time added
2009-08-06 05:14:26

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 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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