Divisibility of zeta functions of curves in a covering
نویسندگان
چکیده
We prove, as an analogy of a conjecture of Artin, that if Y −→ X is a finite flat morphism between two singular reduced absolutely irreducible projective algebraic curves defined over a finite field, then the numerator of the zeta function of X divides those of Y in Z[T ]. Then, we give some interpretations of this result in terms of semi-abelian varieties.
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