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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

Amilcar Pacheco
Amilcar Pacheco*
Affiliation:
Instituto de Matemâtica Pura e Aplicada Estrada Dona Castorina 110 22460 Rio de Janeiro, RJ Brasil.
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Abstract

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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.

Keywords

14G10
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 33 , Issue 3 , 01 September 1990 , pp. 282 - 285
Copyright
Copyright © Canadian Mathematical Society 1990

References

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