The Resource Discrete integrable systems : QRT maps and elliptic surfaces, Johannes J. Duistermaat

Discrete integrable systems : QRT maps and elliptic surfaces, Johannes J. Duistermaat

Label
Discrete integrable systems : QRT maps and elliptic surfaces
Title
Discrete integrable systems
Title remainder
QRT maps and elliptic surfaces
Statement of responsibility
Johannes J. Duistermaat
Creator
Subject
Language
eng
Member of
Cataloging source
BTCTA
Dewey number
515.9
Illustrations
illustrations
Index
index present
LC call number
QA360
LC item number
.D85 2010
Literary form
non fiction
Nature of contents
bibliography
Series statement
Springer monographs in mathematics,
Label
Discrete integrable systems : QRT maps and elliptic surfaces, Johannes J. Duistermaat
Publication
Bibliography note
Includes bibliographical references (p. 613-620) and index
http://library.link/vocab/branchCode
  • net
Contents
  • Contents note continued: 10.2.Pencils of Planar Quadrics -- 10.3.Poncelet -- 11.Examples from the Literature -- 11.1.Hesse -- 11.2.The Elliptic Billiard -- 11.3.The Planar Four-Bar Link -- 11.4.The Lyness Map -- 11.5.The McMillan Map -- 11.6.Heisenberg Spin Chain Maps -- 11.7.The Sine-Gordon map -- 11.8.Jogia's Example -- 11.9.A Non-QRT Map with the Weierstrass Data of a QRT Map -- 12.Appendices -- 12.1.The QRT Mapping on Singular Fibers -- 12.2.Configurations of Singular Fibers in this Book
  • Contents note continued: 6.1.Fibrations -- 6.2.The Singular Fibers -- 6.3.The Weierstrass Model -- 6.4.Kodaira's Classification of Elliptic Surfaces -- 7.Automorphisms of Elliptic Surfaces -- 7.1.The Mordell-Weil Group and the Set of Sections -- 7.2.The Neron-Severi Group -- 7.3.Eichler-Siegel transformations -- 7.4.The Number of Periodic Fibers -- 7.5.The Contributions of the Reducible Fibers -- 7.6.More about the Mordell-Weil lattices -- 7.7.Asymptotics of the k-Periodic Fibers -- 7.8.The Mordell-Weil Group in the Weierstrass Model -- 8.Elliptic Fibrations with a Real Structure -- 8.1.Real Structures and Real Automorphisms -- 8.2.The Real Periods near the Singular Fibers -- 8.3.Hyperbolic and Elliptic Ib, b > 0 -- 8.4.Singularities of the Real Rotation Function -- 8.5.Real Pencils -- 9.Rational elliptic surfaces -- 9.1.Equivalent Characterizations of Rational Elliptic Surfaces -- 9.2.Properties of Rational Elliptic Surfaces -- 10.Symmetric QRT Maps -- 10.1.The QRT Root --
  • Machine generated contents note: 1.The QRT Map -- 1.1.The Rational Formula for the QRT Map -- 1.2.Indeterminacy of the QRT Map -- 1.3.Reconstruction -- 2.The Pencil of Biquadratic Curves in P1 [{u00D7}] P1 -- 2.1.Complex Analytic Geometry -- 2.2.Complex Projective Varities -- 2.3.Elliptic Curves -- 2.4.Biquardratic Curves -- 2.5.The QRT Mapping on a Smooth Biquadratic Curve -- 2.6.Real Points -- 3.The QRT surface -- 3.1.The surface in P1 [{u00D7}] (P1 [{u00D7}] P1) -- 3.2.Blowing Up -- 3.3.Blowing Up P1 [{u00D7}] P1 at the Base Points -- 3.4.The QRT Map on the QRT Surface -- 4.Cubic Curves in the Projective Plane -- 4.1.From P1 [{u00D7}] P1 to P2 and Back -- 4.2.Manin Transformations -- 4.3.Manin QRT Automorphisms -- 4.4.Aronhold's Invariants -- 4.5.Pencils of Cubic Curves with Only One Base Point -- 5.The Action of the QRT Map on Homology -- 5.1.The Action of the QRT Map on Homology Classes -- 5.2.QRT Transformations of Finite Order -- 6.Elliptic Surfaces --
Control code
000046736073
Dimensions
24 cm
Extent
xxii, 627 p.
Isbn
9780387729237
Lccn
2010934229
Other physical details
ill.
http://library.link/vocab/recordID
.b2715693x
System control number
  • (OCoLC)646114402
  • springer1441971165

Library Locations

    • Deakin University Library - Geelong Waurn Ponds CampusBorrow it
      75 Pigdons Road, Waurn Ponds, Victoria, 3216, AU
      -38.195656 144.304955
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