Geodesic
A Note on Relations Between the Zeta-Functions of Galois Coverings of Curves Over Finite Fields
Canadian mathematical bulletin, Tome 33 (1990) no. 3, pp. 282-285

Voir la notice de l'article provenant de la source Cambridge University Press

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.
DOI : 10.4153/CMB-1990-046-x
Mots-clés : 14G10 
Pacheco, Amilcar. A Note on Relations Between the Zeta-Functions of Galois Coverings of Curves Over Finite Fields. Canadian mathematical bulletin, Tome 33 (1990) no. 3, pp. 282-285. doi: 10.4153/CMB-1990-046-x
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