Weil Conjectures, Perverse Sheaves and l'Adic Fourier Transform (Ergebnisse Der Mathematik Und Ihrer Grenzgebiete,42) - Hardcover

9783540414575: Weil Conjectures, Perverse Sheaves and l'Adic Fourier Transform (Ergebnisse Der Mathematik Und Ihrer Grenzgebiete,42)
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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 beautiful 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.

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  • PublisherSpringer
  • Publication date2001
  • ISBN 10 3540414576
  • ISBN 13 9783540414575
  • BindingHardcover
  • Number of pages400

Other Popular Editions of the Same Title

9783642074721: Weil Conjectures, Perverse Sheaves and ℓ-adic Fourier Transform (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics)

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Book Description Gebunden. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Describes the important generalisation of the original Weil conjecturesFor the first time the authors describe Deligne s work in the framework of the sheaf theoretic theory of perverse sheavesThe l-adic Fourier transform is introduced as a powerful . Seller Inventory # 4889272

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Book Description Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -In this book 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 beautiful 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. 396 pp. Englisch. Seller Inventory # 9783540414575

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Book Description Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - In this book 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 beautiful 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. Seller Inventory # 9783540414575

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