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Weil Conjectures, Perverse Sheaves and ¿-adic Fourier Transform

By Reinhardt Kiehl

Weil Conjectures, Perverse Sheaves and ¿-adic Fourier Transform Mathematics

Weil Conjectures, Perverse Sheaves and ¿-adic Fourier Transform

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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.
Product details
Edition:
1
Number of Pages:
396
Release Date:
2001-08-14
Publication Date:
2001-08-14
Publisher:
Springer
Languages:
Original: English
ISBN10:
3540414576
ISBN13:
9783540414575
GPSR Manufacturer Reference:
[email protected]
Weight:
758 g
Height:
160 cm
Width:
241 cm
Thickness:
26 cm
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