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
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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.
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
@article{10_4153_CMB_1990_046_x,
author = {Pacheco, Amilcar},
title = {A {Note} on {Relations} {Between} the {Zeta-Functions} of {Galois} {Coverings} of {Curves} {Over} {Finite} {Fields}},
journal = {Canadian mathematical bulletin},
pages = {282--285},
year = {1990},
volume = {33},
number = {3},
doi = {10.4153/CMB-1990-046-x},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1990-046-x/}
}
TY - JOUR AU - Pacheco, Amilcar TI - A Note on Relations Between the Zeta-Functions of Galois Coverings of Curves Over Finite Fields JO - Canadian mathematical bulletin PY - 1990 SP - 282 EP - 285 VL - 33 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1990-046-x/ DO - 10.4153/CMB-1990-046-x ID - 10_4153_CMB_1990_046_x ER -
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