arXiv Analytics

Sign in

arXiv:math/0209092 [math.AG]AbstractReferencesReviewsResources

On the irreducibility of the two variable zeta-function for curves over finite fields

Niko Naumann

Published 2002-09-09Version 1

In [P] R. Pellikaan introduced a two variable zeta-function for a curve over a finite field and proved that it is a rational function. Here we show that its denominator is absolutely irreducible. This is motivated by work of J. Lagarias and E. Rains on an analogous two variable zeta-funtion for number fields.

Comments: 7 pages
Categories: math.AG, math.NT
Subjects: 11G20, 14G10
Related articles: Most relevant | Search more
arXiv:1210.7460 [math.AG] (Published 2012-10-28, updated 2013-10-21)
Addendum to: Milne, Values of zeta functions of varieties over finite fields, Amer. J. Math. 108, (1986), 297-360
arXiv:1108.4975 [math.AG] (Published 2011-08-25)
A bound on the number of points of a curve in projective space over a finite field
arXiv:0808.2169 [math.AG] (Published 2008-08-15)
Étale cohomology, Lefschetz Theorems and Number of Points of Singular Varieties over Finite Fields