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Author : Masatake Kuranishi
Publisher : Unknown
Page : 100 pages
File Size : 50,8 Mb
Release : 1971
Category : Variétés complexes
ISBN : OCLC:251843
Author : James A. Morrow,Kunihiko Kodaira
Publisher : American Mathematical Soc.
Page : 210 pages
File Size : 54,5 Mb
Release : 2006
Category : Mathematics
ISBN : 9780821840559
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 : D. Sundararaman
Publisher : Pitman Publishing
Page : 278 pages
File Size : 46,7 Mb
Release : 1980
Category : Mathematics
ISBN : UOM:39015049301685
Author : K. Kodaira
Publisher : Springer Science & Business Media
Page : 476 pages
File Size : 53,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461385905
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 : Thiruvalloor E. Venkata Balaji
Publisher : Universitätsverlag Göttingen
Page : 241 pages
File Size : 53,7 Mb
Release : 2010
Category : Complex manifolds
ISBN : 9783941875326
Moduli Theory is one of those areas of Mathematics that has fascinated minds from classical to modern times. This has been so because it reveals beautiful Geometry naturally hidden in questions involving classification of geometric objects and because of the profound use of the methods of several areas of Mathematics like Algebra, Number Theory, Topology and Analysis to achieve this revelation. A study of Moduli Theory would therefore give senior undergraduate and graduate students an integrated view of Mathematics. The present book is a humble introduction to some aspects of Moduli Theory.
Author : R. O. Wells
Publisher : Springer Science & Business Media
Page : 269 pages
File Size : 46,7 Mb
Release : 2013-04-17
Category : Mathematics
ISBN : 9781475739466
In developing the tools necessary for the study of complex manifolds, this comprehensive, well-organized treatment presents in its opening chapters a detailed survey of recent progress in four areas: geometry (manifolds with vector bundles), algebraic topology, differential geometry, and partial differential equations. Subsequent chapters then develop such topics as Hermitian exterior algebra and the Hodge *-operator, harmonic theory on compact manifolds, differential operators on a Kahler manifold, the Hodge decomposition theorem on compact Kahler manifolds, the Hodge-Riemann bilinear relations on Kahler manifolds, Griffiths's period mapping, quadratic transformations, and Kodaira's vanishing and embedding theorems. The third edition of this standard reference contains a new appendix by Oscar Garcia-Prada which gives an overview of certain developments in the field during the decades since the book first appeared. From reviews of the 2nd Edition: "..the new edition of Professor Wells' book is timely and welcome...an excellent introduction for any mathematician who suspects that complex manifold techniques may be relevant to his work." - Nigel Hitchin, Bulletin of the London Mathematical Society "Its purpose is to present the basics of analysis and geometry on compact complex manifolds, and is already one of the standard sources for this material." - Daniel M. Burns, Jr., Mathematical Reviews
Author : Masatake Kuranishi
Publisher : Montreal, U. P
Page : 99 pages
File Size : 47,9 Mb
Release : 1971
Category : Complex manifolds
ISBN : 0840501714
Author : Kunihiko Kodaira,Donald Clayton Spencer
Publisher : Unknown
Page : 450 pages
File Size : 41,6 Mb
Release : 1957
Category : Riemann surfaces
ISBN : STANFORD:36105016761137
Author : Daniele Angella
Publisher : Springer
Page : 289 pages
File Size : 42,8 Mb
Release : 2013-11-22
Category : Mathematics
ISBN : 9783319024417
In these notes, we provide a summary of recent results on the cohomological properties of compact complex manifolds not endowed with a Kähler structure. On the one hand, the large number of developed analytic techniques makes it possible to prove strong cohomological properties for compact Kähler manifolds. On the other, in order to further investigate any of these properties, it is natural to look for manifolds that do not have any Kähler structure. We focus in particular on studying Bott-Chern and Aeppli cohomologies of compact complex manifolds. Several results concerning the computations of Dolbeault and Bott-Chern cohomologies on nilmanifolds are summarized, allowing readers to study explicit examples. Manifolds endowed with almost-complex structures, or with other special structures (such as, for example, symplectic, generalized-complex, etc.), are also considered.
Author : Kunihiko Kodaira
Publisher : Unknown
Page : 465 pages
File Size : 54,5 Mb
Release : 1981
Category : Electronic
ISBN : OCLC:802704184
Author : Shiing-shen Chern
Publisher : Springer Science & Business Media
Page : 158 pages
File Size : 55,5 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9781468493443
From the reviews of the second edition: "The new methods of complex manifold theory are very useful tools for investigations in algebraic geometry, complex function theory, differential operators and so on. The differential geometrical methods of this theory were developed essentially under the influence of Professor S.-S. Chern's works. The present book is a second edition... It can serve as an introduction to, and a survey of, this theory and is based on the author's lectures held at the University of California and at a summer seminar of the Canadian Mathematical Congress.... The text is illustrated by many examples... The book is warmly recommended to everyone interested in complex differential geometry." #Acta Scientiarum Mathematicarum, 41, 3-4#
Author : Dominic D. Joyce
Publisher : OUP Oxford
Page : 460 pages
File Size : 46,6 Mb
Release : 2000
Category : Mathematics
ISBN : 0198506015
This is a combination of a graduate textbook on Reimannian holonomy groups, and a research monograph on compact manifolds with the exceptional holonomy groups G2 and Spin (7). It contains much new research and many new examples.
Author : John Joseph Wavrik
Publisher : Unknown
Page : 144 pages
File Size : 46,6 Mb
Release : 1966
Category : Topology
ISBN : STANFORD:36105033317632
Author : G. M. Henkin,J. Leiterer
Publisher : Walter de Gruyter GmbH & Co KG
Page : 228 pages
File Size : 50,7 Mb
Release : 1984-12-31
Category : Mathematics
ISBN : 9783112721834
No detailed description available for "Theory of Functions on Complex Manifolds".
Author : Daniel Huybrechts
Publisher : Springer Science & Business Media
Page : 336 pages
File Size : 46,7 Mb
Release : 2005
Category : Computers
ISBN : 3540212906
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)