Overview

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.

Full Product Details

Author:   Reinhardt Kiehl ,  Rainer Weissauer
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   2001 ed.
Volume:   42
Dimensions:   Width: 15.50cm , Height: 2.20cm , Length: 23.50cm
Weight:   1.610kg
ISBN:  

9783540414575

ISBN 10:   3540414576
Pages:   375
Publication Date:   14 August 2001
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

I. The General Weil Conjectures (Deligne’s Theory of Weights).- II. The Formalism of Derived Categories.- III. Perverse Sheaves.- IV. Lefschetz Theory and the Brylinski—Radon Transform.- V. Trigonometric Sums.- VI. The Springer Representations.- B. Bertini Theorem for Etale Sheaves.- C. Kummer Extensions.- D. Finiteness Theorems.

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