Reinhardt Kiehl

(Author)

Weil Conjectures, Perverse Sheaves and ℓ-Adic Fourier Transform (2001)Hardcover - 2001, 14 August 2001

Weil Conjectures, Perverse Sheaves and ℓ-Adic Fourier Transform (2001)
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Part of Series
Ergebnisse Der Mathematik Und Ihrer Grenzgebiete. 3. Folge /
Part of Series
Ergebnisse der Mathematik Und Ihrer Grenzgebiete
Part of Series
Forum Anglistik
Part of Series
Ergebnisse Der Mathematik Und Ihrer Grenzgebiete. 3. Folge a
Print Length
375 pages
Language
English
Publisher
Springer
Date Published
14 Aug 2001
ISBN-10
3540414576
ISBN-13
9783540414575

Description

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.

Product Details

Authors:
Reinhardt KiehlRainer Weissauer
Book Edition:
2001
Book Format:
Hardcover
Country of Origin:
DE
Date Published:
14 August 2001
Dimensions:
23.39 x 15.6 x 2.24 cm
ISBN-10:
3540414576
ISBN-13:
9783540414575
Language:
English
Location:
Berlin, Heidelberg
Pages:
375
Publisher:
Weight:
730.28 gm

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