
Weil Conjectures, Perverse Sheaves and l-adic Fourier Transform
Springer (Publisher)
Published on 19. October 2010
Book
Paperback/Softback
XII, 375 pages
978-3-642-07472-1 (ISBN)
Description
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.
More details
Series
Edition
Softcover reprint of hardcover 1st ed. 2001
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
XII, 375 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 22 mm
Weight
593 gr
ISBN-13
978-3-642-07472-1 (9783642074721)
DOI
10.1007/978-3-662-04576-3
Schweitzer Classification
Other editions
Additional editions

Reinhardt Kiehl | Rainer Weissauer
Weil Conjectures, Perverse Sheaves and l-adic Fourier Transform
Book
08/2001
Springer
€192.59
Shipment within 10-15 days
Content
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.