Weil Conjectures, Perverse Sheaves and l’adic Fourier Transform

Weil Conjectures, Perverse Sheaves and l’adic Fourier Transform

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Cod produs/ISBN: 9783540414575

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Editura: Springer

Limba: Engleza

Nr. pagini: 396

Coperta: Hardback

Dimensiuni: 15.6 x 2.4 x 23.4 cm

An aparitie: 2001

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.
Springer
An aparitie 2001
Autor Reinhardt Kiehl, Rainer Weissauer
Dimensiuni 15.6 x 2.4 x 23.4 cm
Editura Springer
Format Hardback
ISBN 9783540414575
Limba Engleza
Nr pag 396

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