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Weil Conjectures, Perverse Sheaves and ℓ-Adic Fourier Transform 2001 Edition
Contributor(s): Kiehl, Reinhardt (Author), Weissauer, Rainer (Author)
ISBN: 3540414576     ISBN-13: 9783540414575
Publisher: Springer
OUR PRICE:   $189.99  
Product Type: Hardcover - Other Formats
Published: August 2001
Qty:
Annotation: 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.
Additional Information
BISAC Categories:
- Mathematics | Geometry - Algebraic
- Mathematics | Probability & Statistics - General
- Mathematics | Group Theory
Dewey: 516.352
LCCN: 2001031426
Series: Ergebnisse der Mathematik Und Ihrer Grenzgebiete
Physical Information: 0.88" H x 6.14" W x 9.21" (1.61 lbs) 375 pages
 
Descriptions, Reviews, Etc.
Publisher 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.