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<図書>
Weil conjectures, perverse sheaves and l'adic Fourier transform

責任表示 Reinhardt Kiehl, Rainer Weissauer
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
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所蔵情報



理系図3F 数理独自 KIEH/10/2 2001
023212001005214

書誌詳細

一般注記 Includes bibliographical references (p. [355]-369) and index
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

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