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Complex Manifolds And Deformation Of Complex Structures


Complex Manifolds And Deformation Of Complex Structures
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Complex Manifolds And Deformation Of Complex Structures


Complex Manifolds And Deformation Of Complex Structures
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Author : K. Kodaira
language : en
Publisher: Springer Science & Business Media
Release Date : 1985-11-22

Complex Manifolds And Deformation Of Complex Structures written by K. Kodaira and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985-11-22 with Mathematics categories.




Complex Manifolds And Deformation Of Complex Structures


Complex Manifolds And Deformation Of Complex Structures
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Author : K. Kodaira
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Complex Manifolds And Deformation Of Complex Structures written by K. Kodaira and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


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


Complex Manifolds And Deformation Of Complex Structures
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Author : Kunihiko Kodaira
language : en
Publisher:
Release Date : 1981

Complex Manifolds And Deformation Of Complex Structures written by Kunihiko Kodaira and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with categories.




Deformations Of Compact Complex Manifolds


Deformations Of Compact Complex Manifolds
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Author : Masatake Kuranishi
language : en
Publisher: Montreal, U. P
Release Date : 1971

Deformations Of Compact Complex Manifolds written by Masatake Kuranishi and has been published by Montreal, U. P this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Complex manifolds categories.




Proceedings Of The Conference On Complex Analysis


Proceedings Of The Conference On Complex Analysis
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Author : A. Aeppli
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Proceedings Of The Conference On Complex Analysis written by A. Aeppli and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


This volume contains the articles contributed to the Minnesota Con ference on Complex Analysis (COCA). The Conference was held March 16-21, 1964, at the University of Minnesota, under the sponsorship of the U. S. Air Force Office of Scientific Research with thirty-one invited participants attending. Of these, nineteen presented their papers in person in the form of one-hour lectures. In addition, this volume con tains papers contributed by other attending participants as well as by participants who, after having planned to attend, were unable to do so. The list of particip ants, as well as the contributions to these Proceed ings, clearly do not represent a complete coverage of the activities in all fields of complex analysis. It is hoped, however, that these limitations stemming from the partly deliberate selections will allow a fairly com prehensive account of the current research in some of those areas of complex analysis that, in the editors' belief, have rapidly developed during the past decade and may remain as active in the foreseeable future as they are at the present time. In conclusion, the editors wish to thank, first of all, the participants and contributors to these Proceedings for their enthusiastic cooperation and encouragement. Our thanks are due also to the University of Min nesota, for offering the physical facilities for the Conference, and to Springer-Verlag for publishing these proceedings.



Complex Non K Hler Geometry


Complex Non K Hler Geometry
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Author : Sławomir Dinew
language : en
Publisher: Springer Nature
Release Date : 2019-11-05

Complex Non K Hler Geometry written by Sławomir Dinew and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-05 with Mathematics categories.


Collecting together the lecture notes of the CIME Summer School held in Cetraro in July 2018, the aim of the book is to introduce a vast range of techniques which are useful in the investigation of complex manifolds. The school consisted of four courses, focusing on both the construction of non-Kähler manifolds and the understanding of a possible classification of complex non-Kähler manifolds. In particular, the courses by Alberto Verjovsky and Andrei Teleman introduced tools in the theory of foliations and analytic techniques for the classification of compact complex surfaces and compact Kähler manifolds, respectively. The courses by Sebastien Picard and Sławomir Dinew focused on analytic techniques in Hermitian geometry, more precisely, on special Hermitian metrics and geometric flows, and on pluripotential theory in complex non-Kähler geometry.



Isomonodromic Deformations And Frobenius Manifolds


Isomonodromic Deformations And Frobenius Manifolds
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Author : Claude Sabbah
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-20

Isomonodromic Deformations And Frobenius Manifolds written by Claude Sabbah and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-12-20 with Mathematics categories.


Based on a series of graduate lectures, this book provides an introduction to algebraic geometric methods in the theory of complex linear differential equations. Starting from basic notions in complex algebraic geometry, it develops some of the classical problems of linear differential equations. It ends with applications to recent research questions related to mirror symmetry. The fundamental tool used is that of a vector bundle with connection. The book includes complete proofs, and applications to recent research questions. Aimed at graduate students and researchers, the book assumes some familiarity with basic complex algebraic geometry.



Complex Geometry


Complex Geometry
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Author : Daniel Huybrechts
language : en
Publisher: Springer Science & Business Media
Release Date : 2005

Complex Geometry written by Daniel Huybrechts and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Computers categories.


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)



Lectures On K Hler Manifolds


Lectures On K Hler Manifolds
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Author : Werner Ballmann
language : en
Publisher: European Mathematical Society
Release Date : 2006

Lectures On K Hler Manifolds written by Werner Ballmann and has been published by European Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.


These notes are based on lectures the author gave at the University of Bonn and the Erwin Schrodinger Institute in Vienna. The aim is to give a thorough introduction to the theory of Kahler manifolds with special emphasis on the differential geometric side of Kahler geometry. The exposition starts with a short discussion of complex manifolds and holomorphic vector bundles and a detailed account of the basic differential geometric properties of Kahler manifolds. The more advanced topics are the cohomology of Kahler manifolds, Calabi conjecture, Gromov's Kahler hyperbolic spaces, and the Kodaira embedding theorem. Some familiarity with global analysis and partial differential equations is assumed, in particular in the part on the Calabi conjecture. There are appendices on Chern-Weil theory, symmetric spaces, and $L^2$-cohomology.



Complex Manifolds


Complex Manifolds
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Author : James A. Morrow
language : en
Publisher: American Mathematical Soc.
Release Date : 2006

Complex Manifolds written by James A. Morrow and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.


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.