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Catalogue Information
Field name	Details
Dewey Class	516.35
Title	Discrete Integrable Systems ([Ebook]) : QRT Maps and Elliptic Surfaces / by J.J. Duistermaat.
Author	Duistermaat, Johannes Jisse , 1942-
Other name(s)	SpringerLink (Online service)
Edition statement	1st edition
Publication	New York, NY : Springer , 2010.
Physical Details	XXII, 627 pages 116 illus. : online resource.
Series	Springer monographs in mathematics 1439-7382
ISBN	9781441991263
Summary Note	The rich subject matter in this book brings in mathematics from different domains, especially from the theory of elliptic surfaces and dynamics.The material comes from the authorâs insights and understanding of a birational transformation of the plane derived from a discrete sine-Gordon equation, posing the question of determining the behavior of the discrete dynamical system defined by the iterates of the map. The aim of this book is to give a complete treatment not only of the basic facts about QRT maps, but also the background theory on which these maps are based. Readers with a good knowledge of algebraic geometry will be interested in Kodairaâs theory of elliptic surfaces and the collection of nontrivial applications presented here. While prerequisites for some readers will demand their knowledge of quite a bit of algebraic- and complex analytic geometry, different categories of readers will be able to become familiar with any selected interest in the book without having to make an extensive journey through the literature.:
Contents note	Introduction -- The QRT Map -- Complex Projective Curves -- The QRT Surface -- Pencils of Cubic Curves in the Projective Plane -- The Action of the QRT Map on Homology Classes -- Elliptic Surfaces -- Rational Elliptic Surfaces -- Examples from the Literature -- Appendices -- Index.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-1-4419-9126-3
Links to Related Works	Subject References: Algebraic Geometry . Functions of a Complex Variable . Functions of complex variables . Geometry, Algebraic . Mathematics . Number Theory . Theoretical, Mathematical and Computational Physics . Authors: Duistermaat, Johannes Jisse 1942- . Corporate Authors: SpringerLink (Online service) . Series: Springer monographs in mathematics . Classification: 516.35 . 516.35 (DDC 23) .

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Discrete Integrable Systems: QRT Maps and Elliptic Surfaces

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