Download Discrete Integrable Systems: QRT Maps and Elliptic Surfaces by J.J. Duistermaat PDF

By J.J. Duistermaat

This publication 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 fully integrable Hamiltonian platforms is usually discussed.

The ebook starts with a complete 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 should be popular to experts in algebraic geometry, the current quantity makes the topic obtainable to mathematicians and graduate scholars in a lecture room atmosphere or for self-study.

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