Weil Conjectures, Perverse Sheaves and ℓ-adic Fourier Transform (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 42, Band 42) - Hardcover

Kiehl, Reinhardt; Weissauer, Rainer

Hardcover

ISBN 10: 3540414576 ISBN 13: 9783540414575

Verlag: Springer, 2001

Inhaltsangabe

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 zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 2001
• Sprache: Englisch
• ISBN 10: 3540414576
• ISBN 13: 9783540414575
• Einband: Gebundene Ausgabe
• Anzahl der Seiten: 387
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