%0 Journal Article
%T Some elementary theorems about divisibility of 0-cycles on abelian varieties defined over finite fields
%A H¨¦l¨¨ne Esnault
%J Mathematics
%D 2003
%I arXiv
%X If $X$ is an abelian variety over a field and $L$ is an invertible sheaf, we know that the degree of the 0-cycle $L^g$ is divisible by $g!$. As a 0-cycle, it is not, even over a field of cohomological dimension 1. But we show that over a finite field there is perhaps some hope.
%U http://arxiv.org/abs/math/0311023v1