By J.J. Duistermaat
This booklet is dedicated to Quisped, Roberts, and Thompson (QRT) maps, regarded as automorphisms of rational elliptic surfaces. the idea of QRT maps arose from difficulties in mathematical physics, concerning distinction equations. the applying 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 structures is additionally discussed.
The booklet starts off with a entire assessment of the topic, together with QRT maps, singularity confinement, automorphisms of rational elliptic surfaces, motion on homology periods, and periodic QRT maps. Later chapters hide those subject matters and extra in detail.
While QRT maps might be general to experts in algebraic geometry, the current quantity makes the topic obtainable to mathematicians and graduate scholars in a school room environment or for self-study.
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Discrete Integrable Systems: QRT Maps and Elliptic Surfaces (Springer Monographs in Mathematics) by J.J. Duistermaat