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Weil Conjectures, Perverse Sheaves and ℓ-adic Fourier Transform

von Rainer Weissauer und Reinhardt Kiehl
Softcover - 9783642074721
192,59 €
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Hardcover - 9783540414575
192,59 €

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Weitere Formate

Hardcover - 9783540414575
192,59 €

Beschreibung

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.

Details

Verlag Springer Berlin
Ersterscheinung 19. Oktober 2010
Maße 23.5 cm x 15.5 cm
Gewicht 593 Gramm
Format Softcover
ISBN-13 9783642074721
Seiten 375

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