Download E-books Weil Conjectures, Perverse Sheaves and l'Adic Fourier Transform (Ergebnisse Der Mathematik Und Ihrer Grenzgebiete,42) PDF

By Reinhardt Kiehl

The authors describe the $64000 generalization of the unique Weil conjectures, as given by way of P. Deligne in his primary paper "La conjecture de Weil II". The authors keep on with the $64000 and gorgeous equipment of Laumon and Brylinski which result in a simplification of Deligne's concept. Deligne's paintings is heavily regarding the sheaf theoretic idea of perverse sheaves. during this framework Deligne's effects on worldwide weights and his concept of purity of complexes receive a passable and ultimate shape. for that reason the authors comprise the whole conception of center perverse sheaves. during this half, the l-adic Fourier remodel is brought as a method offering typical and straightforward proofs. To around issues off, there are 3 chapters with major purposes of those theories.

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