Independence of ` and Surfaces
نویسنده
چکیده
1.1. Let Fq be a finite field of characteristic p, let k be an algebraic closure of Fq, and let X/Fq be a separated, normal, 2-dimensional Fq-scheme of finite type. For a prime ` 6= p and i ∈ Z define P i ` := det(1− TF |H (Xk,Q`)) ∈ Q`[T ] and P i c,` := det(1− TF |H i c(Xk,Q`)) ∈ Q`[T ], where H (Xk,Q`) (resp. H i c(Xk,Q`)) denotes the étale cohomology of Xk (resp. compactly supported étale cohomology of Xk), and F denotes the Frobenius endomorphism.
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تاریخ انتشار 2010