Reinhardt Kiehl

(Author)

Weil Conjectures, Perverse Sheaves and ℓ-Adic Fourier TransformPaperback, 19 October 2010

Weil Conjectures, Perverse Sheaves and ℓ-Adic Fourier Transform
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Part of Series
Ergebnisse Der Mathematik Und Ihrer Grenzgebiete. 3. Folge /
Part of Series
Ergebnisse Der Mathematik Und Ihrer Grenzgebiete. 3. Folge a
Print Length
375 pages
Language
English
Publisher
Springer
Date Published
19 Oct 2010
ISBN-10
3642074723
ISBN-13
9783642074721

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 Format:
Paperback
Country of Origin:
NL
Date Published:
19 October 2010
Dimensions:
23.39 x 15.6 x 2.03 cm
ISBN-10:
3642074723
ISBN-13:
9783642074721
Language:
English
Location:
Berlin, Heidelberg
Pages:
375
Publisher:
Weight:
539.77 gm

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