Complex Manifolds and Deformation of Complex Structures

Complex Manifolds and Deformation of Complex Structures
Author: K. Kodaira
Publisher: Springer Science & Business Media
Total Pages: 476
Release: 2012-12-06
Genre: Mathematics
ISBN: 1461385903

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This book is an introduction to the theory of complex manifolds and their deformations. Deformation of the complex structure of Riemann surfaces is an idea which goes back to Riemann who, in his famous memoir on Abelian functions published in 1857, calculated the number of effective parameters on which the deformation depends. Since the publication of Riemann's memoir, questions concerning the deformation of the complex structure of Riemann surfaces have never lost their interest. The deformation of algebraic surfaces seems to have been considered first by Max Noether in 1888 (M. Noether: Anzahl der Modulen einer Classe algebraischer Fliichen, Sitz. K6niglich. Preuss. Akad. der Wiss. zu Berlin, erster Halbband, 1888, pp. 123-127). However, the deformation of higher dimensional complex manifolds had been curiously neglected for 100 years. In 1957, exactly 100 years after Riemann's memoir, Frolicher and Nijenhuis published a paper in which they studied deformation of higher dimensional complex manifolds by a differential geometric method and obtained an important result. (A. Fr61icher and A. Nijenhuis: A theorem on stability of complex structures, Proc. Nat. Acad. Sci., U.S.A., 43 (1957), 239-241).


Complex Manifolds and Deformation of Complex Structures
Language: en
Pages: 476
Authors: K. Kodaira
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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This book is an introduction to the theory of complex manifolds and their deformations. Deformation of the complex structure of Riemann surfaces is an idea whic
Differential Analysis on Complex Manifolds
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Authors: Raymond O. Wells
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Type: BOOK - Published: 2007-10-31 - Publisher: Springer Science & Business Media

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A brand new appendix by Oscar Garcia-Prada graces this third edition of a classic work. In developing the tools necessary for the study of complex manifolds, th
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Language: en
Pages: 210
Authors: James A. Morrow
Categories: Mathematics
Type: BOOK - Published: 2006 - Publisher: American Mathematical Soc.

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Serves as an introduction to the Kodaira-Spencer theory of deformations of complex structures. Based on lectures given by Kunihiko Kodaira at Stanford Universit
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Language: en
Pages: 158
Authors: Shiing-shen Chern
Categories: Mathematics
Type: BOOK - Published: 2013-06-29 - Publisher: Springer Science & Business Media

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From the reviews of the second edition: "The new methods of complex manifold theory are very useful tools for investigations in algebraic geometry, complex func
Differential Analysis on Complex Manifolds
Language: en
Pages: 269
Authors: R. O. Wells
Categories: Mathematics
Type: BOOK - Published: 2013-04-17 - Publisher: Springer Science & Business Media

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In developing the tools necessary for the study of complex manifolds, this comprehensive, well-organized treatment presents in its opening chapters a detailed s