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Discrete integrable systems : QRT Maps and Elliptic Surfaces

Verfasser/in: J J Duistermaat
Verlag: New York : Springer, ©2010.
Serien: Springer monographs in mathematics.
Ausgabe/Format   E-Book : Dokument : EnglischAlle Ausgaben und Formate anzeigen
Datenbank:WorldCat
Zusammenfassung:
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  Weiterlesen…
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Gattung/Form: Electronic books
Physisches Format Print version:
Duistermaat, J.J. (Johannes Jisse), 1942-.
Discrete integrable systems.
New York : Springer, ©2010
Medientyp: Dokument, Internetquelle
Dokumenttyp: Internet-Ressource, Computer-Datei
Alle Autoren: J J Duistermaat
ISBN: 9780387729237 0387729232 9781441991263 1441991263
OCLC-Nummer: 676697713
Beschreibung: 1 online resource (xxii, 627 pages).
Inhalt: 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.
Serientitel: Springer monographs in mathematics.
Verfasserangabe: Johannes J. Duistermaat.

Abstract:

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  Weiterlesen…

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