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Divisibility of zeta functions of curves in Departement de Mathematiques
 

Summary: Divisibility of zeta functions of curves in
a covering
Yves Aubry
D´epartement de Math´ematiques
Universit´e de Caen
Structures Discr`etes & Analyse Diophantienne
14 032 Caen cedex
France
aubry@iml.univ-mrs.fr
Marc Perret
Unit´e de Math´ematiques Pures et Appliqu´ees
Ecole Normale Sup´erieure de Lyon
46, all´ee d'Italie
69 363 Lyon cedex 7
France
perret@umpa.ens-lyon.fr
Abstract
As an analogous of a conjecture of Artin, we show 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

  

Source: Aubry, Yves - Institut de Mathématiques de Toulon, Université du Sud Toulon -Var

 

Collections: Mathematics