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Weil Conjectures, Perverse Sheaves and l'Adic Fourier Transform
I. The General Weil Conjectures (Deligne's Theory of Weights).- II. The Formalism of Derived Categories.- III. Perverse Sheaves.- IV. Lefschetz Theory and the Brylinski-Radon Transform.- V.Expand
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The General Weil Conjectures (Deligne’s Theory of Weights)
Let K be a finite field and k its algebraic closure. Fix a prime number l. The number q of elements of K will always be assumed not to be divisible by the prime number l. The Galois group Gal (k/K)Expand
Lefschetz Theory and the Brylinski-Radon Transform
In the following assume d ≥ 1. Let κ be a finite or an algebraically closed field. Let ℙ d be the d-dimensional projective space defined over the base field κ. Let \(\mathop {\Bbb P}\limits^ \vee \)Expand
The Formalism of Derived Categories
Let A be an abelian category. The derived category D(A)of A is a quotient category of the abelian category Kom(A)of complexes over A. The quotient category is defined by making quasiisomorphisms intoExpand