Item Successfully Added to Cart
An error was encountered while trying to add the item to the cart. Please try again.
OK
Please make all selections above before adding to cart
OK
Share this page via the icons above, or by copying the link below:
Copy To Clipboard
Successfully Copied!
Complex Manifolds
 
James Morrow University of Washington, Seattle, WA
Complex Manifolds
AMS Chelsea Publishing: An Imprint of the American Mathematical Society
Hardcover ISBN:  978-0-8218-4055-9
Product Code:  CHEL/355.H
List Price: $69.00
MAA Member Price: $62.10
AMS Member Price: $62.10
eBook ISBN:  978-1-4704-3031-3
Product Code:  CHEL/355.H.E
List Price: $65.00
MAA Member Price: $58.50
AMS Member Price: $58.50
Hardcover ISBN:  978-0-8218-4055-9
eBook: ISBN:  978-1-4704-3031-3
Product Code:  CHEL/355.H.B
List Price: $134.00 $101.50
MAA Member Price: $120.60 $91.35
AMS Member Price: $120.60 $91.35
Complex Manifolds
Click above image for expanded view
Complex Manifolds
James Morrow University of Washington, Seattle, WA
AMS Chelsea Publishing: An Imprint of the American Mathematical Society
Hardcover ISBN:  978-0-8218-4055-9
Product Code:  CHEL/355.H
List Price: $69.00
MAA Member Price: $62.10
AMS Member Price: $62.10
eBook ISBN:  978-1-4704-3031-3
Product Code:  CHEL/355.H.E
List Price: $65.00
MAA Member Price: $58.50
AMS Member Price: $58.50
Hardcover ISBN:  978-0-8218-4055-9
eBook ISBN:  978-1-4704-3031-3
Product Code:  CHEL/355.H.B
List Price: $134.00 $101.50
MAA Member Price: $120.60 $91.35
AMS Member Price: $120.60 $91.35
  • Book Details
     
     
    AMS Chelsea Publishing
    Volume: 3551971; 194 pp
    MSC: Primary 32;

    The main purpose of this book is to give an introduction to the Kodaira-Spencer theory of deformations of complex structures. The original proof of the Kodaira embedding theorem is given 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.

    The book is based on notes taken by James Morrow from lectures given by Kunihiko Kodaira at Stanford University in 1965–1966. Complete references are given for the results that are used from elliptic partial differential equations.

    Readership

    Graduate students and research mathematicians interested in abstract complex manifolds.

  • Table of Contents
     
     
    • Chapters
    • Chapter 1. Definitions and examples of complex manifolds
    • Chapter 2. Sheaves and cohomology
    • Chapter 3. Geometry of complex manifolds
    • Chapter 4. Applications of elliptic partial differential equations to deformations
  • Additional Material
     
     
  • Reviews
     
     
    • This book, a revision and organization of lectures given by Kodaira at Stanford University in 1965–66, is an excellent, well-written introduction to the study of abstract complex (analytic) manifolds—a subject that began in the late 1940's and early 1950's. It is largely self-contained, except for some standard results about elliptic partial differential equations, for which complete references are given.

      D. C. Spencer, MathSciNet
    • The book under review is the faithful reprint of the original edition of one of the most influential textbooks in modern complex analysis and geometry. The classic "Complex Manifolds" by J. Morrow and K. Kodaira was first published in 1971 ..., essentially as a revised and elaborated version of a set of notes taken from lectures of Fields medallist Kunihiko Kodaira at Stanford University in 1965–1966, and has maintained its role as a standard introduction to the geometry of complex manifolds and their deformations ever since.

      Werner Kleinert, Zentralblatt MATH
    • Of course everyone knows Abel's exhortation that we should seek out "the masters, not their pupils," if we are to learn mathematics well and effectively. ... 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
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 3551971; 194 pp
MSC: Primary 32;

The main purpose of this book is to give an introduction to the Kodaira-Spencer theory of deformations of complex structures. The original proof of the Kodaira embedding theorem is given 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.

The book is based on notes taken by James Morrow from lectures given by Kunihiko Kodaira at Stanford University in 1965–1966. Complete references are given for the results that are used from elliptic partial differential equations.

Readership

Graduate students and research mathematicians interested in abstract complex manifolds.

  • Chapters
  • Chapter 1. Definitions and examples of complex manifolds
  • Chapter 2. Sheaves and cohomology
  • Chapter 3. Geometry of complex manifolds
  • Chapter 4. Applications of elliptic partial differential equations to deformations
  • This book, a revision and organization of lectures given by Kodaira at Stanford University in 1965–66, is an excellent, well-written introduction to the study of abstract complex (analytic) manifolds—a subject that began in the late 1940's and early 1950's. It is largely self-contained, except for some standard results about elliptic partial differential equations, for which complete references are given.

    D. C. Spencer, MathSciNet
  • The book under review is the faithful reprint of the original edition of one of the most influential textbooks in modern complex analysis and geometry. The classic "Complex Manifolds" by J. Morrow and K. Kodaira was first published in 1971 ..., essentially as a revised and elaborated version of a set of notes taken from lectures of Fields medallist Kunihiko Kodaira at Stanford University in 1965–1966, and has maintained its role as a standard introduction to the geometry of complex manifolds and their deformations ever since.

    Werner Kleinert, Zentralblatt MATH
  • Of course everyone knows Abel's exhortation that we should seek out "the masters, not their pupils," if we are to learn mathematics well and effectively. ... 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
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.