Divisibility of zeta functions of curves in a covering
Résumé
As an analogous of a conjecture of Artin, we show that, if $ Y\longrightarrow X$ is a finite flat morphism between two singular reduced absolutely irreducible projective algebraic curves defined over a finite field, then the numerator polynomial of the zeta function of $X$ divides those of $Y$ in ${\sb Z}[T]$. We give some interpretations of this result in terms of semi-abelian varieties.
Domaines
Géométrie algébrique [math.AG]Origine | Fichiers produits par l'(les) auteur(s) |
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