Band 42
Weil Conjectures, Perverse Sheaves and ℓ-adic Fourier Transform
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- Hardcover
- Taschenbuch ausgewählt
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Sprache:Englisch
Fr. 218.00
inkl. gesetzl. MwSt.,
Beschreibung
Produktdetails
Einband
Taschenbuch
Erscheinungsdatum
19.10.2010
Verlag
Springer BerlinSeitenzahl
375
Maße (L/B/H)
23.5/15.5/2.2 cm
Gewicht
599 g
Auflage
Softcover reprint of hardcover 1st ed. 2001
Sprache
Englisch
ISBN
978-3-642-07472-1
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.
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