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Discrete integrable systems : QRT Maps and Elliptic Surfaces

Author: J J Duistermaat
Publisher: New York : Springer, ©2010.
Series: Springer monographs in mathematics.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:

This book is devoted to Quisped, Roberts, and Thompson (QRT) maps, considered as automorphisms of rational elliptic surfaces. The application of QRT maps to problems in the literature, including  Read more...

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Genre/Form: Electronic books
Additional Physical Format: Print version:
Duistermaat, J.J. (Johannes Jisse), 1942-.
Discrete integrable systems.
New York : Springer, c2010
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: J J Duistermaat
ISBN: 9780387729237 0387729232 9781441991263 1441991263
OCLC Number: 676697713
Description: 1 online resource (xxii, 627 p.)
Contents: The QRT Map.- The Pencil of Biquadratic Curves in .- The QRT surface.- Cubic Curves in the Projective Plane.- The Action of the QRT Map on Homology.- Elliptic Surfaces.- Automorphisms of Elliptic Surfaces.- Elliptic Fibrations with a Real Structure.- Rational elliptic surfaces.- Symmetric QRT Maps.- Examples from the Literature.- Appendices.
Series Title: Springer monographs in mathematics.
Responsibility: Johannes J. Duistermaat.

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From the reviews: "The book ... takes us on a tour of the field and provides us with a wealth of applications of various concepts coming from algebraic and analytic geometry to dynamical systems. ... Read more...

 
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