<図書>
Discrete integrable systems : QRT maps and elliptic surfaces
責任表示 | Johannes J. Duistermaat |
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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
状態 | 巻次 | 所蔵場所 | 請求記号 | 刷年 | 文庫名称 | 資料番号 | コメント | 予約・取寄 | 複写申込 | 自動書庫 |
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理系図3F 数理独自 | DUIS/10/7 | 2010 |
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033212010003897 |
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書誌詳細
著者標目 | Duistermaat, J. J. (Johannes Jisse), 1942- |
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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 |