Описание: This monograph provides classifications of all three-dimensional complex manifolds for which a transitive action of a Lie group exists. The classifications are based on methods from Lie group theory, complex analysis and algebraic geometry.
Автор: S. R. Sario; M. Nakai; C. Wang; L. O. Chung Название: Classification Theory of Riemannian Manifolds ISBN: 3540083588 ISBN-13(EAN): 9783540083580 Издательство: Springer Рейтинг: Цена: 6282.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Sergei Matveev Название: Algorithmic Topology and Classification of 3-Manifolds ISBN: 3642079601 ISBN-13(EAN): 9783642079603 Издательство: Springer Рейтинг: Цена: 10480.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
From the reviews of the 1st edition:
"This book provides a comprehensive and detailed account of different topics in algorithmic 3-dimensional topology, culminating with the recognition procedure for Haken manifolds and including the up-to-date results in computer enumeration of 3-manifolds. Originating from lecture notes of various courses given by the author over a decade, the book is intended to combine the pedagogical approach of a graduate textbook (without exercises) with the completeness and reliability of a research monograph...
All the material, with few exceptions, is presented from the peculiar point of view of special polyhedra and special spines of 3-manifolds. This choice contributes to keep the level of the exposition really elementary.
In conclusion, the reviewer subscribes to the quotation from the back cover: "the book fills a gap in the existing literature and will become a standard reference for algorithmic 3-dimensional topology both for graduate students and researchers."
Zentralblatt fur Mathematik 2004
For this 2nd edition, new results, new proofs, and commentaries for a better orientation of the reader have been added. In particular, in Chapter 7 several new sections concerning applications of the computer program "3-Manifold Recognizer" have been included.
Автор: A.K. Prykarpatsky; I.V. Mykytiuk Название: Algebraic Integrability of Nonlinear Dynamical Systems on Manifolds ISBN: 0792350901 ISBN-13(EAN): 9780792350903 Издательство: Springer Рейтинг: Цена: 18167.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Provides a detailed exposition of modern Lie-algebraic theory of integrable nonlinear dynamic systems on manifolds and its applications to mathematical physics, classical mechanics and hydrodynamics. This book offers solutions to many quantization procedure problems. It is for graduate-level students, researchers and mathematical physicists.
Автор: Fabrizio Catanese; Denis Auroux; Fabrizio Catanese Название: Symplectic 4-Manifolds and Algebraic Surfaces ISBN: 3540782788 ISBN-13(EAN): 9783540782780 Издательство: Springer Рейтинг: Цена: 7959.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Modern approaches to the study of symplectic 4-manifolds and algebraic surfaces combine a wide range of techniques and sources of inspiration. This book presents methods for the study of moduli spaces of complex structures on algebraic surfaces, and for the investigation of symplectic topology in dimension 4 and higher.
Автор: Wolf-P. Barth; Herbert Lange Название: Arithmetic of Complex Manifolds ISBN: 3540517294 ISBN-13(EAN): 9783540517290 Издательство: Springer Рейтинг: Цена: 3492.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: 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, and automorphic forms. This title contains 12 research papers that cover such topics as theta functions, abelian varieties and algebraic three-folds.
Автор: B. Shiffman; Sommese Название: Vanishing Theorems on Complex Manifolds ISBN: 148996682X ISBN-13(EAN): 9781489966827 Издательство: Springer Рейтинг: Цена: 10480.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Aims for the construction of families of Calabi-Yau 3-manifolds with dense sets of complex multiplication fibers. Suitable for young mathematicians, physicists and also for experts who are interested in complex multiplication and varieties with complex multiplication, this work introduces the reader to generic Mumford-Tate groups and Shimura data.
Автор: Oscar Garcia-Prada; Raymond O. Wells Название: Differential Analysis on Complex Manifolds ISBN: 144192535X ISBN-13(EAN): 9781441925350 Издательство: Springer Рейтинг: Цена: 6841.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
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 the developments in the field during the decades since the book appeared.
From a review 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."
Автор: A.K. Prykarpatsky; I.V. Mykytiuk Название: Algebraic Integrability of Nonlinear Dynamical Systems on Manifolds ISBN: 9401060967 ISBN-13(EAN): 9789401060967 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Boris Sternin; Victor Shatalov Название: Differential Equations on Complex Manifolds ISBN: 9048143683 ISBN-13(EAN): 9789048143689 Издательство: Springer Рейтинг: Цена: 19564.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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