Localized Chern Classes and Independence of `
نویسنده
چکیده
The purpose of this paper is to prove various independence of ` results for correspondences acting on the étale cohomology of algebraic varieties in positive characteristic. The most basic result in this direction is the following: Theorem 1.1 (special case of 7.12). Let k be an algebraically closed field, and let X/k be a separated scheme of finite type. Let u : X → X be a quasi-finite morphism of schemes. Then for every prime ` different from the characteristic of k, the alternating sum of traces tr(u|RΓ(X,Q`)) := ∑
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