<図書>
Sheaves on manifolds : with a short history <Les débuts de la théorie des faisceaux> by Christian Houzel
責任表示 | Masaki Kashiwara, Pierre Schapira |
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シリーズ | Die Grundlehren der mathematischen Wissenschaften ; 292 |
データ種別 | 図書 |
出版情報 | Berlin ; Tokyo : Springer-Verlag , c1990 |
本文言語 | 英語 |
大きさ | x, 512 p. : ill. ; 25 cm |
概要 | Kashiwara (Kyoto U.) and Schapira (Paris-Nord U.) start from the beginning (derived categories and sheaves), deal in detail with the main features of the theory, such as duality, Fourier transformatio..., specialization and microlocalization, micro-support and contact transformations, and also give two main applications. The first of these deals with real analytic geometry, and includes the concepts of constructible sheaves, subanalytic cycles, Euler-Poincare indices, Lefschetz formula, perverse sheaves, etc. The second one is the theory of linear partial differential equations, including D-modules, microfunctions, elliptic and microhyperbolic systems, and complex quantized contact transformations. Annotation copyrighted by Book News, Inc., Portland, OR Sheaf Theory is modern, active field of mathematics at the intersection of algebraic topology, algebraic geometry and partial differential equations. This volume offers a comprehensive and self-contained treatment of Sheaf Theory from the basis up, with emphasis on the microlocal point of view. From the reviews: "Clearly and precisely written, and contains many interesting ideas: it describes a whole, largely new branch of mathematics." Bulletin of the L.M.S. 続きを見る |
電子版へのリンク | https://hdl.handle.net/2324/6894730 |
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1F 開架 | 417/Ka 77/1 | 1990 |
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068582190013258 |
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理系図 自動書庫 | 413/Kas | 1990 |
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068252190007167 |
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: gw | 理系図3F 数理独自 | KASH/20/4 | c1990 |
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068222190005971 |
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: gw | 数理 雑誌室 | SER/GMW/K292 |
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068252195009384 | 414.7 |
書誌詳細
一般注記 | Bibliography: p. [496]-501 Includes index |
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著者標目 | *柏原, 正樹(1947-) <カシワラ, マサキ> Schapira, Pierre, 1943- Houzel, Christian |
件 名 | LCSH:Sheaf theory LCSH:Manifolds (Mathematics) LCSH:Algebra, Homological/K LCSH:Moduli theory NDLSH:複素多様体 |
分 類 | LCC:QA612.36 DC20:514.224 NDC8:414.7 |
書誌ID | 1001054492 |
ISBN | 0387518614 |
NCID | BA10846686 |
巻冊次 | : us ; ISBN:0387518614 : gw ; ISBN:3540518614 |
登録日 | 2009.09.17 |
更新日 | 2009.11.02 |