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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"There is no question that this beautifully constructed book, full of elegant (and very economical) arguments underscores Abel's aforementioned dictum. Perhaps especially today, when so much is asked of the student of this material in the way of prerequisites, one can do no better than to turn to a master." ---- MAA Reviews
"There is no question that this beautifully constructed book, full of elegant (and very economical) arguments underscores Abel's aforementioned dictum." ---- MAA Reviews
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Book Description Holt, Rinehart and Winston, 1971. Book Condition: Fair. N/A. Former Library book. Shows definite wear, and perhaps considerable marking on inside. Bookseller Inventory # GRP93776482
Book Description Holt, Rinehart and Winston, 1971. Book Condition: Good. N/A. Ships from the UK. Former Library book. Shows some signs of wear, and may have some markings on the inside. Bookseller Inventory # GRP79115410
Book Description Book Condition: Acceptable. Book Condition: Acceptable. Bookseller Inventory # 97800308098285.0
Book Description New York: Holt, Rinehart and Winston, 1971. Soft cover. Book Condition: Fine. 1st Edition. 8 vo. Softcover. vii, 192 pages, including bibliography and index. Athena Series: Selected Topics in Mathematics. Glossy green and white card wrappers with white lettering; fine, with some slight soiling to the top and front fore edges. The text is clean and fresh and the binding is tight. This is a very nice copy of the scarce first edition of this seminal work on "the study of deformations of complex manifolds." Seller info: Math J-M, box #2. Bookseller Inventory # 0019021JS