Is there a standard meaning for ordinary and supersingular Abelian varieties over finite fields? If so, where can I find it (together with basic properties about them)?
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See http://en.wikipedia.org/wiki/HasseWitt_matrix#Abelian_varieties_and_their_prank . "Ordinary" is always defined by prank equal to the dimension (the maximum possible). The article gives one definition of "supersingular", but that usage may not be universal. 

