Hélène Esnault
Published 2003-11-03Version 1
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.
Infinitely $p$-divisible points on abelian varieties defined over function fields of characteristic $p>0$
Isogeny classes of abelian varieties over function fields
Cycles in the de Rham cohomology of abelian varieties over number fields
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