Some elementary theorems about divisibility of 0-cycles on abelian varieties defined over finite fields
Abstract
If X is an abelian variety over a field and L is an invertible sheaf, we know that the degree of the 0-cycle Lg 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.
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