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

By J.J. Duistermaat

This e-book 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, related to 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 fully integrable Hamiltonian structures can also be discussed.


The ebook starts with a accomplished review of the topic, together with QRT maps, singularity confinement, automorphisms of rational elliptic surfaces, motion on homology periods, and periodic QRT maps. Later chapters disguise those issues and extra in detail.


While QRT maps may be prevalent 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.

Show description

Read Online or Download Discrete Integrable Systems: QRT Maps and Elliptic Surfaces (Springer Monographs in Mathematics) PDF

Similar number theory books

Download e-book for iPad: Introduction to Quasi-Monte Carlo Integration and by Gunther Leobacher,Friedrich Pillichshammer

This textbook introduces readers to the elemental innovations of quasi-Monte Carlo tools for numerical integration and to the idea in the back of them. the excellent remedy of the topic with exact factors contains, for instance, lattice principles, electronic nets and sequences and discrepancy idea.

Algebraic Number Theory (Springer Undergraduate Mathematics - download pdf or read online

The technical problems of algebraic quantity thought frequently make this topic seem tough to novices. This undergraduate textbook presents a welcome method to those difficulties because it offers an approachable and thorough advent to the subject. Algebraic quantity thought takes the reader from specific factorisation within the integers via to the modern day quantity box sieve.

Factorization of Boundary Value Problems Using the Invariant by Jacques Henry,A. M. Ramos PDF

Factorization process for Boundary worth difficulties by way of Invariant Embedding provides a brand new thought for linear elliptic boundary price difficulties. The authors supply a metamorphosis of the matter in preliminary worth difficulties which are uncoupled, permitting you to unravel those successively. this system seems just like the Gauss block factorization of the matrix, got in finite measurement after discretization of the matter.

New PDF release: Diophantine Analysis: Course Notes from a Summer School

This choice of path notes from a bunch concept summer season university specialise in points of Diophantine research, addressed to grasp and doctoral scholars in addition to everybody who desires to examine the topic. the themes variety from Baker’s approach to bounding linear kinds in logarithms (authored by way of Sanda Bujačić and Alan Filipin), metric diophantine approximation discussing particularly the but unsolved Littlewood conjecture (by Simon Kristensen), Minkowski’s geometry of numbers and glossy diversifications via Bombieri and Schmidt (Tapani Matala-aho), and a ancient account of comparable quantity theory(ists) on the flip of the nineteenth Century (Nicola M.

Extra info for Discrete Integrable Systems: QRT Maps and Elliptic Surfaces (Springer Monographs in Mathematics)

Example text

Download PDF sample

Discrete Integrable Systems: QRT Maps and Elliptic Surfaces (Springer Monographs in Mathematics) by J.J. Duistermaat


by Christopher
4.3

Rated 4.71 of 5 – based on 9 votes