2 edition of **Integrable systems in the realm of algebraic geometry** found in the catalog.

Integrable systems in the realm of algebraic geometry

Pol Vanhaecke

- 324 Want to read
- 5 Currently reading

Published
**1996**
by Springer in Berlin, London
.

Written in English

- Abelian varieties.,
- Hamiltonian systems.

**Edition Notes**

Includes bibliographical references (p. 209-215) and index.

Statement | Pol Vanhaecke. |

Series | Lecture notes in mathematics -- 1638 |

Classifications | |
---|---|

LC Classifications | QA3, QA564 |

The Physical Object | |

Pagination | viii, 218p. : |

Number of Pages | 218 |

ID Numbers | |

Open Library | OL22343157M |

ISBN 10 | 3540618864 |

Buy Integrable Systems in the Realm of Algebraic Geometry by Pol Vanhaecke from Waterstones today! Click and Collect from your local Waterstones or get FREE UK delivery on orders over £ Get this from a library! Integrable systems in the realm of algebraic geometry. [Pol Vanhaecke].

Integrable Hamiltonian systems and symmetric products of curves -- IV. Interludium: the geometry of Abelian varieties -- V. Algebraic completely integrable Hamiltonian systems -- VI. The master systems . Maybe this reference "Integrable Systems in the Realm of Algebraic Geometry" (Vanhaecke, ) may be of use. This book is a series of lecture notes. "Integrable Systems" (Dubrovin et al.) is a book completely available online. Hope these are of some help.

Integrable Systems and Algebraic Geometry的话题 (全部 条) 什么是话题 无论是一部作品、一个人，还是一件事，都往往可以衍生出许多不同的话题。. Cite this chapter as: Vanhaecke P. () The master systems. In: Integrable Systems in the realm of Algebraic Geometry. Lecture Notes in Mathematics, vol Author: Pol Vanhaecke.

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This book treats the general theory of Poisson structures and integrable systems on affine varieties in a systematic way. Special attention is drawn to algebraic completely integrable systems. Several integrable systems are constructed and studied in detail and a few applications of integrable systems to algebraic geometry are worked by: Integrable Systems in the Realm of Algebraic Geometry Integrable Systems in the Realm of Algebraic Geometry.

Authors: Vanhaecke, Pol Free Preview. Buy this book eB79 € Algebraic completely integrable Hamiltonian systems. Pages Brand: Springer-Verlag Berlin Heidelberg. Integrable Systems in the realm of Algebraic Geometry Integrable Systems in the realm of Algebraic Geometry.

Authors: Vanhaecke, Pol Show next edition Free Preview. Buy this book Integrable Hamiltonian systems and symmetric products of curves. Pages Vanhaecke, : Springer-Verlag Berlin Heidelberg. Integrable Systems in the realm of Algebraic Geometry.

Authors (view affiliations) Pol Vanhaecke Search within book. Front Matter. Pages i-x. PDF. Introduction. Interludium: the geometry of Abelian varieties. Pages Algebraic completely integrable Hamiltonian systems. Pages The Mumford systems.

Pages Two. Integrable Systems in the realm of Algebraic Geometry. Authors (view affiliations) Algebraic completely integrable Hamiltonian systems. Pol Vanhaecke. Pages Pages Back Matter. Pages PDF. About this book. Keywords. abelian vrieties integrable systems poisson geometry Abelian variety algebraic geometry geometry.

Integrable Systems in the Realm of Algebraic Geometry by Pol Vanhaecke,available at Book Depository with free delivery worldwide. Integrable Systems in the Realm of Algebraic Geometry: Pol Vanhaecke: Author: Pol Vanhaecke.

This first volume covers a wide range of areas related to integrable systems, often emphasizing the deep connections with algebraic geometry. Common themes include theta functions and Abelian varieties, Lax equations, integrable hierarchies, Hamiltonian flows and difference operators.

Integrable Systems in the realm of Algebraic Geometry Springer. Table of Contents I. Introduction 1 II. Integrable Hamiltonian systems on affine Poisson varieties 17 1. Introduction 17 The geometry of the level manifolds 82 The level sets Tfd and TF4 82 The structure of.

online ebook pdf djvu. Computer Mathematics: 8th Asian Symposium, ASCMSingapore, December, Revised and Invited Papers (Lecture Notes in Computer Science / Lecture Notes in Artificial Intelligence). Abstract. Integrable systems are related to algebraic geometry in many different ways. This book deals with some aspects of this relation, the main focus being on the algebraic geometry of the level manifolds of integrable systems and the construction of integrable systems, starting from algebraic Author: Pol Vanhaecke.

“Integrable systems” and “algebraic geometry” are two classical fields in Mathematics and historically they have had fruitful interactions which have enriched both Mathematics and Theoretical Physics. This volume discusses recent developments of these two fields and also the unexpected new interaction between them.

Integrable Systems: Twistors, Loop Groups, and Riemann Surfaces His own contribution then develops connections with algebraic geometry, and includes an introduction to Riemann surfaces, sheaves, and line bundles. Graeme Segal takes the Kortewegde Vries and nonlinear Schrodinger equations as central examples, and explores the mathematical 5/5(1).

Describes the general theory of Poisson structures and integrable systems on affine varieties, drawing special attention to algebraic completely integrable systems.

This book also constructs and studies, in detail, several integrable systems, working out a few applications of integrable systems to. The introduction by Nigel Hitchin addresses the meaning of integrability, discussing in particular how to recognize an integrable system.

He then develops connections between integrable systems and algebraic geometry and introduces Riemann surfaces, sheaves, and line by: This volume is a collection of papers contributed by participants of Taniguchi Symposium, held at Kobe and Kyoto."Integrable systems" and "algebraic geometry" are two classical fields in Mathematics and historically they have had fruitful interactions which have enriched both Mathematics and Theoretical volume discusses recent developments of these two fields and also the Format: Hardcover.

The very wide range of topics represented in this volume illustrates the importance of methods and ideas originating in the theory of integrable systems to such diverse areas of mathematics as algebraic geometry, combinatorics, and probability theory.

Describes the general theory of Poisson structures and integrable systems on affine varieties, drawing special attention to algebraic completely integrable systems. This book also constructs and studies, in detail, several integrable systems, working out a few applications of integrable systems to algebraic geometry.

Introduction --Integrable Hamiltonian systems on affine Poisson varietie: Affine Poisson varieties and their morphisms; Integrable Hamiltonian systems and their morphisms; Integrable Hamiltonian systems on other spaces --Integrable Hamiltonian systems and symmetric products of curves: The systems and their integrability; The geometry of the level manifolds --Interludium: the geometry of Abelian.

Algebraic and Analytic Aspects of Integrable Systems and Painlevé Equations About this Title. Anton Dzhamay, University of Northern Colorado, Greeley, CO, Kenichi Maruno, University of Texas-Pan American, Edinburg, TX and Christopher M. Ormerod, California Institute of Technology, Pasadena, CA, Editors.

Publication: Contemporary Mathematics. The techniques to study such systems have solid foundations in algebraic geometry, differential geometry, and group representation theory.

Many important special solutions of continuous and discrete integrable systems can be written in terms of special functions such as hypergeometric and basic hypergeometric functions. To the best of my knowledge, the complete understanding of what is an integrable system for the case of three (3D) or more independent variables is still missing.

In particular, for the case of three independent variables (a.k.a. 3D or (2+1)D) the overwhelming majority of examples are generalizations of the systems with two independent variables.Integrable systems in the realm of algebraic geometry.

Berlin ; New York: Springer-Verlag, © (OCoLC) Material Type: Internet resource: Document Type: Book, Internet Resource: All Authors / Contributors: Pol Vanhaecke.This book is suitable for use as a supplementary text to a course in mathematical physics.

A brief but self-contained exposition of the basics of Riemann surfaces and theta functions prepares the reader for the main subject of this text, namely the application of these theories to solving nonlinear integrable equations for various physical systems.