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Discrete Integrable Systems: QRT Maps and Elliptic Surfaces
TLDR
The QRT Map as discussed by the authors is the pencil of biquadratic curves in the projective plane of the QRT surface and is used to measure the distance between two points.Abstract:
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.read more
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Difference Equations by Differential Equation Methods
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Geometric properties of Kahan's method
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Toric elliptic fibrations and F-theory compactifications
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Toric Elliptic Fibrations and F-Theory Compactifications
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Integrability properties of Kahan's method
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