Divisibility of zeta functions of curves in a covering
Aubry, Yves ; Perret, Marc
HAL, hal-00978051 / Harvested from HAL
Text on HAL
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.
Publié le : 2004-07-04
Classification:  [MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG] 
@article{hal-00978051,
     author = {Aubry, Yves and Perret, Marc},
     title = {Divisibility of zeta functions of curves in a covering},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00978051}
}

Aubry, Yves; Perret, Marc. Divisibility of zeta functions of curves in a covering. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00978051/