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A Note on Relations Between the Zeta-Functions of Galois Coverings of Curves Over Finite Fields
Published online by Cambridge University Press: 20 November 2018
Abstract
Let C be a complete irreducible nonsingular algebraic curve defined over a finite field k. Let G be a finite subgroup of the group of automorphisms Aut(C) of C. We prove that certain idempotent relations in the rational group ring Q[G] imply other relations between the zeta-functions of the quotient curves C/H, where H is a subgroup of G. In particular we generalize some results of Kani in the special case of curves over finite fields.
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- Copyright © Canadian Mathematical Society 1990
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