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 means of P. Deligne in his basic paper "La conjecture de Weil II". The authors stick to the real and lovely equipment of Laumon and Brylinski which result in a simplification of Deligne's concept. Deligne's paintings is heavily concerning the sheaf theoretic conception of perverse sheaves. during this framework Deligne's effects on worldwide weights and his inspiration of purity of complexes receive a passable and ultimate shape. for this reason the authors comprise the whole concept of center perverse sheaves. during this half, the l-adic Fourier remodel is brought as a method supplying average and easy proofs. To around issues off, there are 3 chapters with major functions of those theories.

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