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Painlev? III: A Case Study in the Geometry of Meromorphic Connections, Martin A. Guest; Claus Hertling


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Автор: Martin A. Guest; Claus Hertling
Название:  Painlev? III: A Case Study in the Geometry of Meromorphic Connections
ISBN: 9783319665252
Издательство: Springer
Классификация:





ISBN-10: 3319665251
Обложка/Формат: Paperback
Страницы: 204
Вес: 0.31 кг.
Дата издания: 15.10.2017
Серия: Lecture Notes in Mathematics
Язык: English
Размер: 234 x 157 x 17
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание:

The purpose of this monograph is two-fold: it introduces a conceptual language for the geometrical objects underlying Painleve equations, and it offers new results on a particular Painleve III equation of type PIII (D6), called PIII (0, 0, 4, -4), describing its relation to isomonodromic families of vector bundles on P1 with meromorphic connections. This equation is equivalent to the radial sine (or sinh) Gordon equation and, as such, it appears widely in geometry and physics. It is used here as a very concrete and classical illustration of the modern theory of vector bundles with meromorphic connections.


Complex multi-valued solutions on C* are the natural context for most of the monograph, but in the last four chapters real solutions on R>0 (with or without singularities) are addressed. These provide examples of variations of TERP structures, which are related to tt∗ geometry and harmonic bundles.


As an application, a new global picture o0 is given.







Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations

Автор: Werner Balser
Название: Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations
ISBN: 0387986901 ISBN-13(EAN): 9780387986906
Издательство: Springer
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Цена: 18167.00 р.
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Описание: Simple Ordinary Differential Equations may have solutions in terms of power series whose coefficients grow at such a rate that the series has a radius of convergence equal to zero. This book presents the classical theory of meromorphic systems of ODE, in the light of the achievements in the theory of summability of formal power series.

Analytic and Algebraic Dependence of Meromorphic Functions

Автор: Aldo Andreotti; Wilhelm Stoll
Название: Analytic and Algebraic Dependence of Meromorphic Functions
ISBN: 354005670X ISBN-13(EAN): 9783540056706
Издательство: Springer
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Цена: 4884.00 р.
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Unicity of Meromorphic Mappings

Автор: Pei-Chu Hu; Ping Li; Chung-Chun Yang
Название: Unicity of Meromorphic Mappings
ISBN: 1402012195 ISBN-13(EAN): 9781402012198
Издательство: Springer
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Цена: 23058.00 р.
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Описание: Introduces value distribution theory starting with a survey of two Nevanlinna-type main theorems and defect relations for meromorphic mappings from parabolic manifolds into projective spaces. The unicity theory of meromorphic functions or mappings is discussed and the discussion also covers value distribution theory of algebroid functions.

Meromorphic Functions over Non-Archimedean Fields

Автор: Pei-Chu Hu; Chung-Chun Yang
Название: Meromorphic Functions over Non-Archimedean Fields
ISBN: 0792365321 ISBN-13(EAN): 9780792365327
Издательство: Springer
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Цена: 15372.00 р.
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Описание: Introduces value distribution theory over non-Archimedean fields, starting with a survey of two Nevanlinna-type main theorems and defect relations for meromorphic functions and holomorphic curves. This book is useful to graduate students working in complex or diophantine approximation as well as to researchers involved in the fields of analysis.

Meromorphic Functions and Projective Curves

Автор: Kichoon Yang
Название: Meromorphic Functions and Projective Curves
ISBN: 0792355059 ISBN-13(EAN): 9780792355052
Издательство: Springer
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Цена: 13275.00 р.
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Описание: The main purpose of this volume is to give an exposition of various aspects of meromorphic functions and linear series on algebraic curves, with some emphasis on families of meromorphic functions. It is written in such a way as to facilitate their applications in other areas of mathematics.

Painleve Equations in the Differential Geometry of Surfaces

Автор: Alexander I. Bobenko TU Berlin; Ulrich Eitner
Название: Painleve Equations in the Differential Geometry of Surfaces
ISBN: 3540414142 ISBN-13(EAN): 9783540414148
Издательство: Springer
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Цена: 4884.00 р.
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Algebraic Integrability, Painlev? Geometry and Lie Algebras

Автор: Mark Adler; Pierre van Moerbeke; Pol Vanhaecke
Название: Algebraic Integrability, Painlev? Geometry and Lie Algebras
ISBN: 3642061281 ISBN-13(EAN): 9783642061288
Издательство: Springer
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Цена: 19564.00 р.
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Описание: In the early 70's and 80's the field of integrable systems was in its prime youth: results and ideas were mushrooming all over the world. It was during the roaring 70's and 80's that a first version of the book was born, based on our research and on lectures which each of us had given. We owe many ideas to our colleagues Teruhisa Matsusaka and David Mumford, and to our inspiring graduate students (Constantin Bechlivanidis, Luc Haine, Ahmed Lesfari, Andrew McDaniel, Luis Piovan and Pol Vanhaecke). As it stood, our first version lacked rigor and precision, was rough, dis- connected and incomplete. . . In the early 90's new problems appeared on the horizon and the project came to a complete standstill, ultimately con- fined to a floppy. A few years ago, under the impulse of Pol Vanhaecke, the project was revived and gained real momentum due to his insight, vision and determination. The leap from the old to the new version is gigantic. The book is designed as a teaching textbook and is aimed at a wide read- ership of mathematicians and physicists, graduate students and professionals.

The Painlev? Handbook

Автор: Robert M. Conte; Micheline Musette
Название: The Painlev? Handbook
ISBN: 9400796277 ISBN-13(EAN): 9789400796270
Издательство: Springer
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Цена: 13059.00 р.
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Описание: This book covers methods of building explicit solutions to nonlinear differential equations. Finding out whether the chances of success are high or low can be achieved with a powerful algorithm presented in detail called the Painleve test.

Unicity of Meromorphic Mappings

Автор: Pei-Chu Hu; Ping Li; Chung-Chun Yang
Название: Unicity of Meromorphic Mappings
ISBN: 1441952438 ISBN-13(EAN): 9781441952431
Издательство: Springer
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Цена: 23058.00 р.
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Описание: For instance, they proved that if 1 and 9 are two nonconstant entire functions and 8 , 82 and 83 are three distinctive finite sets such 1 1 that 1- (8 ) = g-1(8 ) CM for i = 1,2,3, then 1 = g.


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