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Discrete integrable systems : QRT Maps and Elliptic Surfaces

作者: J J Duistermaat
出版商: New York : Springer, ©2010.
叢書: Springer monographs in mathematics.
版本/格式:   電子書 : 文獻 : 英語所有版本和格式的總覽
資料庫:WorldCat
提要:
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 author{u2019}s 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  再讀一些...
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類型/形式: Electronic books
其他的實體格式: Print version:
Duistermaat, J.J. (Johannes Jisse), 1942-.
Discrete integrable systems.
New York : Springer, ©2010
資料類型: 文獻, 網際網路資源
文件類型 網際網路資源, 電腦檔案
所有的作者/貢獻者: J J Duistermaat
ISBN: 9780387729237 0387729232 9781441991263 1441991263
OCLC系統控制編碼: 676697713
描述: 1 online resource (xxii, 627 pages).
内容: 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.
叢書名: Springer monographs in mathematics.
責任: Johannes J. Duistermaat.

摘要:

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  再讀一些...

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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. ... 再讀一些...

 
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