Titlebook: Weil Conjectures, Perverse Sheaves and ?-adic Fourier Transform; Reinhardt Kiehl,Rainer Weissauer Book 2001 Springer-Verlag Berlin Heidelb

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Weil Conjectures, Perverse Sheaves and ?-adic Fourier Transform978-3-662-04576-3Series ISSN 0071-1136 Series E-ISSN 2197-5655

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Lefschetz Theory and the Brylinski-Radon Transform,play the role of a base scheme in the following. Consider the diagram Products are fiber products over .(.), if not stated otherwise. The maps .., ..,.are the obvious projections. For a complex . on ?. × . we often write G for ..*[.]..

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Perverse Sheaves,-Lusztig conjectures it was Deligne, who gave a reformulation of the notion of intersection cohomology within the setting of sheaf theory. In this form intersection cohomology can be defined also for finitely generated schemes over a field of characteristic zero, over a finite field or over the algebraic closure of a finite field.

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Lefschetz Theory and the Brylinski-Radon Transform,play the role of a base scheme in the following. Consider the diagram Products are fiber products over .(.), if not stated otherwise. The maps .., ..,.are the obvious projections. For a complex . on ?. × . we often write G for ..*[.]..

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Book 2001this 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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0071-1136 ork of the sheaf theoretic theory of perverse sheaves.The l-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 an