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 via P. Deligne in his primary paper "La conjecture de Weil II". The authors persist with the $64000 and lovely equipment of Laumon and Brylinski which bring about a simplification of Deligne's idea. Deligne's paintings is heavily concerning the sheaf theoretic conception of perverse sheaves. during this framework Deligne's effects on international weights and his idea of purity of complexes receive a passable and ultimate shape. accordingly the authors comprise the whole conception of center perverse sheaves. during this half, the l-adic Fourier rework is brought as a method delivering common and easy proofs. To around issues off, there are 3 chapters with major functions of those theories.

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