Discrete Integrable Systems

1. The QRT Map
Johannes J. Duistermaat

2. The Pencil of Biquadratic Curves in P^1 x P^1
Johannes J. Duistermaat

3. The QRT surface
Johannes J. Duistermaat

4. Cubic Curves in the Projective Plane
Johannes J. Duistermaat

5. The Action of the QRT Map on Homology
Johannes J. Duistermaat

6. Elliptic Surfaces
Johannes J. Duistermaat

7. Automorphisms of Elliptic Surfaces
Johannes J. Duistermaat

8. Elliptic Fibrations with a Real Structure
Johannes J. Duistermaat

9. Rational elliptic surfaces
Johannes J. Duistermaat

10. Symmetric QRT Maps
Johannes J. Duistermaat

11. Examples from the Literature
Johannes J. Duistermaat

12. Appendices
Johannes J. Duistermaat

Keywords: Mathematics, Algebraic Geometry, Functions of a Complex Variable, Theoretical, Mathematical and Computational Physics, Number Theory