Arithmetic of Complex Manifolds

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Publisher :
ISBN 13 : 9783662187562
Total Pages : 180 pages
Book Rating : 4.1/5 (875 download)

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Book Synopsis Arithmetic of Complex Manifolds by : Wolf-P. Barth

Download or read book Arithmetic of Complex Manifolds written by Wolf-P. Barth and published by . This book was released on 2014-09-01 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Arithmetic of Complex Manifolds

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Publisher : Springer
ISBN 13 : 3540467912
Total Pages : 176 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Arithmetic of Complex Manifolds by : Wolf-P. Barth

Download or read book Arithmetic of Complex Manifolds written by Wolf-P. Barth and published by Springer. This book was released on 2006-11-14 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: It was the aim of the Erlangen meeting in May 1988 to bring together number theoretists and algebraic geometers to discuss problems of common interest, such as moduli problems, complex tori, integral points, rationality questions, automorphic forms. In recent years such problems, which are simultaneously of arithmetic and geometric interest, have become increasingly important. This proceedings volume contains 12 original research papers. Its main topics are theta functions, modular forms, abelian varieties and algebraic three-folds.

Complex Manifolds

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540629955
Total Pages : 324 pages
Book Rating : 4.6/5 (299 download)

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Book Synopsis Complex Manifolds by : Steven Bell

Download or read book Complex Manifolds written by Steven Bell and published by Springer Science & Business Media. This book was released on 1997-12-11 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: The articles in this volume were written to commemorate Reinhold Remmert's 60th birthday in June, 1990. They are surveys, meant to facilitate access to some of the many aspects of the theory of complex manifolds, and demonstrate the interplay between complex analysis and many other branches of mathematics, algebraic geometry, differential topology, representations of Lie groups, and mathematical physics being only the most obvious of these branches. Each of these articles should serve not only to describe the particular circle of ideas in complex analysis with which it deals but also as a guide to the many mathematical ideas related to its theme.

Complex Manifolds

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Publisher : American Mathematical Soc.
ISBN 13 : 082184055X
Total Pages : 210 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Complex Manifolds by : James A. Morrow

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.

Analysis on Real and Complex Manifolds

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Publisher : Elsevier
ISBN 13 : 0080960227
Total Pages : 263 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Analysis on Real and Complex Manifolds by : R. Narasimhan

Download or read book Analysis on Real and Complex Manifolds written by R. Narasimhan and published by Elsevier. This book was released on 1985-12-01 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chapter 1 presents theorems on differentiable functions often used in differential topology, such as the implicit function theorem, Sard's theorem and Whitney's approximation theorem. The next chapter is an introduction to real and complex manifolds. It contains an exposition of the theorem of Frobenius, the lemmata of Poincaré and Grothendieck with applications of Grothendieck's lemma to complex analysis, the imbedding theorem of Whitney and Thom's transversality theorem. Chapter 3 includes characterizations of linear differentiable operators, due to Peetre and Hormander. The inequalities of Garding and of Friedrichs on elliptic operators are proved and are used to prove the regularity of weak solutions of elliptic equations. The chapter ends with the approximation theorem of Malgrange-Lax and its application to the proof of the Runge theorem on open Riemann surfaces due to Behnke and Stein.

Complex Manifolds without Potential Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 1468493442
Total Pages : 158 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis Complex Manifolds without Potential Theory by : Shiing-shen Chern

Download or read book Complex Manifolds without Potential Theory written by Shiing-shen Chern and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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#

Theory of Functions on Complex Manifolds

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3112721837
Total Pages : 228 pages
Book Rating : 4.1/5 (127 download)

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Book Synopsis Theory of Functions on Complex Manifolds by : G. M. Henkin

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".

Several Complex Variables and Complex Manifolds I

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Publisher : Cambridge University Press
ISBN 13 : 0521283019
Total Pages : 209 pages
Book Rating : 4.5/5 (212 download)

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Book Synopsis Several Complex Variables and Complex Manifolds I by : Mike Field

Download or read book Several Complex Variables and Complex Manifolds I written by Mike Field and published by Cambridge University Press. This book was released on 1982-04 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained and relatively elementary introduction to functions of several complex variables and complex (especially compact) manifolds was first published in 1982. It was intended be a synthesis of those topics and a broad introduction to the field. The work as a whole will be useful to professional mathematicians or mathematical physicists who wish to acquire a further knowledge of this area of mathematics. Many exercises have been included and indeed they form an integral part of the text. The prerequisites for understanding Part I would be met by any mathematics student with a first degree and together the two parts were designed to provide an introduction to the more advanced works in the subject.

An Introduction to Real and Complex Manifolds

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Publisher :
ISBN 13 :
Total Pages : 224 pages
Book Rating : 4.3/5 (97 download)

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Book Synopsis An Introduction to Real and Complex Manifolds by : Giuliano Sorani

Download or read book An Introduction to Real and Complex Manifolds written by Giuliano Sorani and published by . This book was released on 1969 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Complex Differential Geometry

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Publisher : American Mathematical Soc.
ISBN 13 : 0821829602
Total Pages : 275 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Complex Differential Geometry by : Fangyang Zheng

Download or read book Complex Differential Geometry written by Fangyang Zheng and published by American Mathematical Soc.. This book was released on 2000 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discusses the differential geometric aspects of complex manifolds. This work contains standard materials from general topology, differentiable manifolds, and basic Riemannian geometry. It discusses complex manifolds and analytic varieties, sheaves and holomorphic vector bundles. It also gives a brief account of the surface classification theory.

Mumford-Tate Groups and Domains

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Publisher : Princeton University Press
ISBN 13 : 0691154252
Total Pages : 299 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Mumford-Tate Groups and Domains by : Mark Green

Download or read book Mumford-Tate Groups and Domains written by Mark Green and published by Princeton University Press. This book was released on 2012 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mumford-Tate groups are the fundamental symmetry groups of Hodge theory, a subject which rests at the center of contemporary complex algebraic geometry. This book is the first comprehensive exploration of Mumford-Tate groups and domains. Containing basic theory and a wealth of new views and results, it will become an essential resource for graduate students and researchers. Although Mumford-Tate groups can be defined for general structures, their theory and use to date has mainly been in the classical case of abelian varieties. While the book does examine this area, it focuses on the nonclassical case. The general theory turns out to be very rich, such as in the unexpected connections of finite dimensional and infinite dimensional representation theory of real, semisimple Lie groups. The authors give the complete classification of Hodge representations, a topic that should become a standard in the finite-dimensional representation theory of noncompact, real, semisimple Lie groups. They also indicate that in the future, a connection seems ready to be made between Lie groups that admit discrete series representations and the study of automorphic cohomology on quotients of Mumford-Tate domains by arithmetic groups. Bringing together complex geometry, representation theory, and arithmetic, this book opens up a fresh perspective on an important subject.

Differential Analysis on Complex Manifolds

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Publisher : Springer Science & Business Media
ISBN 13 : 147573946X
Total Pages : 269 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Differential Analysis on Complex Manifolds by : R. O. Wells

Download or read book Differential Analysis on Complex Manifolds written by R. O. Wells and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Geometry And Analysis On Complex Manifolds: Festschrift For S Kobayashi's 60th Birthday

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Publisher : World Scientific
ISBN 13 : 9814501220
Total Pages : 261 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Geometry And Analysis On Complex Manifolds: Festschrift For S Kobayashi's 60th Birthday by : Toshiki Mabuchi

Download or read book Geometry And Analysis On Complex Manifolds: Festschrift For S Kobayashi's 60th Birthday written by Toshiki Mabuchi and published by World Scientific. This book was released on 1994-12-09 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents papers dedicated to Professor Shoshichi Kobayashi, commemorating the occasion of his sixtieth birthday on January 4, 1992.The principal theme of this volume is “Geometry and Analysis on Complex Manifolds”. It emphasizes the wide mathematical influence that Professor Kobayashi has on areas ranging from differential geometry to complex analysis and algebraic geometry. It covers various materials including holomorphic vector bundles on complex manifolds, Kähler metrics and Einstein-Hermitian metrics, geometric function theory in several complex variables, and symplectic or non-Kähler geometry on complex manifolds. These are areas in which Professor Kobayashi has made strong impact and is continuing to make many deep invaluable contributions.

Vanishing Theorems on Complex Manifolds

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Publisher : Springer Science & Business Media
ISBN 13 : 1489966803
Total Pages : 183 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis Vanishing Theorems on Complex Manifolds by : B. Shiffman

Download or read book Vanishing Theorems on Complex Manifolds written by B. Shiffman and published by Springer Science & Business Media. This book was released on 2013-11-21 with total page 183 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Cohomological Aspects in Complex Non-Kähler Geometry

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Publisher : Springer
ISBN 13 : 3319024418
Total Pages : 289 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Cohomological Aspects in Complex Non-Kähler Geometry by : Daniele Angella

Download or read book Cohomological Aspects in Complex Non-Kähler Geometry written by Daniele Angella and published by Springer. This book was released on 2013-11-22 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

From Holomorphic Functions to Complex Manifolds

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Publisher : Springer Science & Business Media
ISBN 13 : 146849273X
Total Pages : 406 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis From Holomorphic Functions to Complex Manifolds by : Klaus Fritzsche

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.

Geometry and Analysis on Complex Manifolds

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Publisher : World Scientific
ISBN 13 : 9789810220679
Total Pages : 268 pages
Book Rating : 4.2/5 (26 download)

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Book Synopsis Geometry and Analysis on Complex Manifolds by : Toshiki Mabuchi

Download or read book Geometry and Analysis on Complex Manifolds written by Toshiki Mabuchi and published by World Scientific. This book was released on 1994 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents papers dedicated to Professor Shoshichi Kobayashi, commemorating the occasion of his sixtieth birthday on January 4, 1992.The principal theme of this volume is “Geometry and Analysis on Complex Manifolds”. It emphasizes the wide mathematical influence that Professor Kobayashi has on areas ranging from differential geometry to complex analysis and algebraic geometry. It covers various materials including holomorphic vector bundles on complex manifolds, Kähler metrics and Einstein–Hermitian metrics, geometric function theory in several complex variables, and symplectic or non-Kähler geometry on complex manifolds. These are areas in which Professor Kobayashi has made strong impact and is continuing to make many deep invaluable contributions.