The Weil Conjecture for K3 Surfaces
نویسنده
چکیده
Denote by Fq a field of q elements, F̄q an algebraic closure of Fq, φ ∈ Gal(F̄q/Fq) the Frobenius substitution x 7→ xq and F = φ−1 the “geometric Frobenius”. Denote by X a scheme (separated of finite type) over Fq, and denote by X̄ the scheme over F̄q obtained by extension of scalars. For all closed points x of X, let deg(x) = [k(x) : Fq] be the degree over Fq of the residue extension. The zeta function Z(X, t) ∈ Z[[x]] is defined by
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