Download E-books Discrete Integrable Systems: QRT Maps and Elliptic Surfaces (Springer Monographs in Mathematics) PDF

By J.J. Duistermaat

This booklet is dedicated to Quisped, Roberts, and Thompson (QRT) maps, regarded as automorphisms of rational elliptic surfaces. the speculation of QRT maps arose from difficulties in mathematical physics, concerning distinction equations. the appliance of QRT maps to those and different difficulties within the literature, together with Poncelet mapping and the elliptic billiard, is tested intimately. The hyperlink among elliptic fibrations and entirely integrable Hamiltonian platforms can also be discussed.

The publication starts off with a entire evaluation of the topic, together with QRT maps, singularity confinement, automorphisms of rational elliptic surfaces, motion on homology sessions, and periodic QRT maps. Later chapters disguise those themes and extra in detail.

While QRT maps can be primary to experts in algebraic geometry, the current quantity makes the topic obtainable to mathematicians and graduate scholars in a school room surroundings or for self-study.

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