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Focusing on the generalization of the Weil conjectures, the authors present a simplified approach based on the methodologies of Laumon and Brylinski, enhancing Deligne's original theories. They delve into the sheaf theoretic framework of perverse sheaves, clarifying Deligne's concepts of global weights and purity of complexes. The book includes a comprehensive treatment of middle perverse sheaves and introduces the l-adic Fourier transform for straightforward proofs. Additionally, it features three chapters dedicated to significant applications of these theories.
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Weil Conjectures, Perverse Sheaves and -adic Fourier Transform, Reinhardt Kiehl, Rainer Weissauer
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- 2010
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