Integrable systems in the realm of algebraic geometry /

Integrable systems in the realm of algebraic geometry /

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Bibliographic Details
Author / Creator:	Vanhaecke, Pol, 1963-
Imprint:	Berlin ; New York : Springer-Verlag, ©1996.
Description:	1 online resource (viii, 218 pages) : illustrations.
Language:	English
Series:	Lecture notes in mathematics ; 1638 Lecture notes in mathematics (Springer-Verlag) ; 1638.
Subject:	Abelian varieties. Hamiltonian systems. Abelian varieties. Hamiltonian systems.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11075058

Hidden Bibliographic Details
ISBN:	9783662215357 3662215357 3540618864 9783540618867
Notes:	Includes bibliographical references (pages 209-215) and index. Restrictions unspecified Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2010. Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 digitized 2010 HathiTrust Digital Library committed to preserve Print version record.
Summary:	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 geometric data. For a rigorous account of these matters, integrable systems are defined on affine algebraic varieties rather than on smooth manifolds. The exposition is self-contained and is accessible at the graduate level; in particular, prior knowledge of integrable systems is not assumed.
Other form:	Print version: Vanhaecke, Pol, 1963- Integrable systems in the realm of algebraic geometry. Berlin ; New York : Springer-Verlag, ©1996

Table of Contents:

I. Introduction
II. Integrable Hamiltonian systems on affine Poisson varieties
III. 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
VII. The Garnier and Hénon-Heiles potentials and the Toda lattice
References.