Abelian varieties over finite fields with a specified characteristic polynomial modulo l
classification
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keywords
abelianvarietiescharacteristicclassesfiniteisogenymodulopolynomial
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We estimate the fraction of isogeny classes of abelian varieties over a finite field which have a given characteristic polynomial P(T) modulo l. As an application we find the proportion of isogeny classes of abelian varieties with a rational point of order l.
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