Weil Conjectures, Perverse Sheaves and ℓ-adic Fourier Transform (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics)
ISBN-13:
9783642074721
ISBN-10:
3642074723
Edition:
Softcover reprint of hardcover 1st ed. 2001
Author:
Reinhardt Kiehl, Rainer Weissauer
Publication date:
2010
Publisher:
Springer
Format:
Paperback
387 pages
Category:
Applied
,
Mathematics
FREE US shipping
Book details
ISBN-13:
9783642074721
ISBN-10:
3642074723
Edition:
Softcover reprint of hardcover 1st ed. 2001
Author:
Reinhardt Kiehl, Rainer Weissauer
Publication date:
2010
Publisher:
Springer
Format:
Paperback
387 pages
Category:
Applied
,
Mathematics
Summary
Weil Conjectures, Perverse Sheaves and ℓ-adic Fourier Transform (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics) (ISBN-13: 9783642074721 and ISBN-10: 3642074723), written by authors
Reinhardt Kiehl, Rainer Weissauer, was published by Springer in 2010.
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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.
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