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<図書>
Discrete integrable systems : QRT maps and elliptic surfaces

責任表示 Johannes J. Duistermaat
シリーズ Springer monographs in mathematics
データ種別 図書
出版情報 New York : Springer , c2010
本文言語 英語
大きさ xxii, 627 p. : ill. ; 25 cm
概要 This book is devoted to Quisped, Roberts, and Thompson (QRT) maps, considered as automorphisms of rational elliptic surfaces. The theory of QRT maps arose from problems in mathematical physics, invol...ing difference equations. The application of QRT maps to these and other problems in the literature, including Poncelet mapping and the elliptic billiard, is examined in detail. The link between elliptic fibrations and completely integrable Hamiltonian systems is also discussed. The book begins with a comprehensive overview of the subject, including QRT maps, singularity confinement, automorphisms of rational elliptic surfaces, action on homology classes, and periodic QRT maps. Later chapters cover these topics and more in detail. While QRT maps will be familiar to specialists in algebraic geometry, the present volume makes the subject accessible to mathematicians and graduate students in a classroom setting or for self-study. 続きを見る

所蔵情報



理系図3F 数理独自 DUIS/10/7 2010
033212010003897

書誌詳細

著者標目 Duistermaat, J. J. (Johannes Jisse), 1942-
分 類 SG:510
書誌ID 1001432964
ISBN 9781441971166
NCID BB03585080
巻冊次 ISBN:9781441971166
登録日 2010.11.02
更新日 2017.05.16

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