From Holomorphic Functions To Complex Manifolds

Author : Klaus Fritzsche
Publisher : Springer Science & Business Media
ISBN 13 : 146849273X
Total Pages : 406 pages
Book Rating : 4.36/5 ( download)

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Download or read book From Holomorphic Functions to Complex Manifolds written by Klaus Fritzsche and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to the theory of complex manifolds covers the most important branches and methods in complex analysis of several variables while completely avoiding abstract concepts involving sheaves, coherence, and higher-dimensional cohomology. Only elementary methods such as power series, holomorphic vector bundles, and one-dimensional cocycles are used. Each chapter contains a variety of examples and exercises.

Author : Klaus Fritzsche
Publisher : Springer Science & Business Media
ISBN 13 : 9780387953953
Total Pages : 424 pages
Book Rating : 4.57/5 ( download)

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Download or read book From Holomorphic Functions to Complex Manifolds written by Klaus Fritzsche and published by Springer Science & Business Media. This book was released on 2002-04-12 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to the theory of complex manifolds covers the most important branches and methods in complex analysis of several variables while completely avoiding abstract concepts involving sheaves, coherence, and higher-dimensional cohomology. Only elementary methods such as power series, holomorphic vector bundles, and one-dimensional cocycles are used. Each chapter contains a variety of examples and exercises.

Author : Klaus Fritzsche
Publisher : Springer
ISBN 13 : 9781441929839
Total Pages : 398 pages
Book Rating : 4.35/5 ( download)

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Download or read book From Holomorphic Functions to Complex Manifolds written by Klaus Fritzsche and published by Springer. This book was released on 2010-12-03 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to the theory of complex manifolds covers the most important branches and methods in complex analysis of several variables while completely avoiding abstract concepts involving sheaves, coherence, and higher-dimensional cohomology. Only elementary methods such as power series, holomorphic vector bundles, and one-dimensional cocycles are used. Each chapter contains a variety of examples and exercises.

Author : Klaus Fritzsche
Publisher :
ISBN 13 : 9781468492743
Total Pages : 416 pages
Book Rating : 4.48/5 ( download)

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Download or read book From Holomorphic Functions to Complex Manifolds written by Klaus Fritzsche and published by . This book was released on 2002-04-12 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : G. M. Henkin
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3112721837
Total Pages : 228 pages
Book Rating : 4.34/5 ( download)

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Download or read book Theory of Functions on Complex Manifolds written by G. M. Henkin and published by Walter de Gruyter GmbH & Co KG. This book was released on 1984-12-31 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "Theory of Functions on Complex Manifolds".

Author : HENKIN
Publisher : Birkhäuser
ISBN 13 : 3034865376
Total Pages : 227 pages
Book Rating : 4.71/5 ( download)

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Download or read book Theory of Functions on Complex Manifolds written by HENKIN and published by Birkhäuser. This book was released on 2013-11-21 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : James A. Morrow
Publisher : American Mathematical Soc.
ISBN 13 : 082184055X
Total Pages : 210 pages
Book Rating : 4.59/5 ( download)

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Download or read book Complex Manifolds written by James A. Morrow and published by American Mathematical Soc.. This book was released on 2006 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: Serves as an introduction to the Kodaira-Spencer theory of deformations of complex structures. Based on lectures given by Kunihiko Kodaira at Stanford University in 1965-1966, this book gives the original proof of the Kodaira embedding theorem, showing that the restricted class of Kahler manifolds called Hodge manifolds is algebraic.

Author : K. Kodaira
Publisher : Springer Science & Business Media
ISBN 13 : 1461385903
Total Pages : 476 pages
Book Rating : 4.05/5 ( download)

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Download or read book Complex Manifolds and Deformation of Complex Structures written by K. Kodaira and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).

Author : R. Michael Range
Publisher : Springer Science & Business Media
ISBN 13 : 1475719183
Total Pages : 405 pages
Book Rating : 4.85/5 ( download)

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Download or read book Holomorphic Functions and Integral Representations in Several Complex Variables written by R. Michael Range and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of this book is Complex Analysis in Several Variables. This text begins at an elementary level with standard local results, followed by a thorough discussion of the various fundamental concepts of "complex convexity" related to the remarkable extension properties of holomorphic functions in more than one variable. It then continues with a comprehensive introduction to integral representations, and concludes with complete proofs of substantial global results on domains of holomorphy and on strictly pseudoconvex domains inC", including, for example, C. Fefferman's famous Mapping Theorem. The most important new feature of this book is the systematic inclusion of many of the developments of the last 20 years which centered around integral representations and estimates for the Cauchy-Riemann equations. In particu lar, integral representations are the principal tool used to develop the global theory, in contrast to many earlier books on the subject which involved methods from commutative algebra and sheaf theory, and/or partial differ ential equations. I believe that this approach offers several advantages: (1) it uses the several variable version of tools familiar to the analyst in one complex variable, and therefore helps to bridge the often perceived gap between com plex analysis in one and in several variables; (2) it leads quite directly to deep global results without introducing a lot of new machinery; and (3) concrete integral representations lend themselves to estimations, therefore opening the door to applications not accessible by the earlier methods.

Author : Daniel Huybrechts
Publisher : Springer Science & Business Media
ISBN 13 : 9783540212904
Total Pages : 336 pages
Book Rating : 4.06/5 ( download)

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Download or read book Complex Geometry written by Daniel Huybrechts and published by Springer Science & Business Media. This book was released on 2005 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Easily accessible Includes recent developments Assumes very little knowledge of differentiable manifolds and functional analysis Particular emphasis on topics related to mirror symmetry (SUSY, Kaehler-Einstein metrics, Tian-Todorov lemma)