<図書>
Weil conjectures, perverse sheaves and l'adic Fourier transform
責任表示 | Reinhardt Kiehl, Rainer Weissauer |
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シリーズ | Ergebnisse der Mathematik und ihrer Grenzgebiete ; 3. Folge, v. 42 . A series of modern surveys in mathematics |
データ種別 | 図書 |
出版情報 | Berlin ; Heiderlberg : Springer , c2001 |
本文言語 | 英語 |
大きさ | xii, 375 p. : ill. ; 24 cm |
概要 | The authors describe the important generalization of the original Weil conjectures, as given by P. Deligne in his fundamental paper "La conjecture de Weil II." The authors follow the important and be...utiful methods of Laumon and Brylinski which lead to a simplification of Deligne's theory. Deligne's work is closely related to the sheaf theoretic theory of perverse sheaves. In this framework Deligne's results on global weights and his notion of purity of complexes obtain a satisfactory and final form. Therefore the authors include the complete theory of middle perverse sheaves. In this part, the l-adic Fourier transform is introduced as a technique providing natural and simple proofs. To round things off, there are three chapters with significant applications of these theories. 続きを見る |
電子版へのリンク | https://hdl.handle.net/2324/6882858 |
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 | KIEH/10/2 | 2001 |
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023212001005214 |
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書誌詳細
一般注記 | Includes bibliographical references (p. [355]-369) and index |
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著者標目 | *Kiehl, Reinhardt Weissauer, Rainer |
件 名 | LCSH:Weil conjectures LCSH:Homology theory LCSH:Sheaf theory |
分 類 | LCC:QA564.K5 DC21:516.3/52 |
書誌ID | 1001401018 |
ISBN | 3540414576 |
NCID | BA53202674 |
巻冊次 | ISBN:3540414576 |
登録日 | 2009.11.02 |
更新日 | 2009.11.02 |