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Recreational mathematics or puzzles with serious mathematical content. Note that math contest problems are generally considered off-topic.

25 votes
4 answers
4k views

What are the automorphism groups of (principally polarized) abelian varieties?

In particular, when $g=N=2$ and $q=3,$ we have $|A_{2,2}(\mathbb F_3)|=10$ and $|G|=720$ (in this case $G$ is the symmetric group $S_6$), and this becomes a puzzle of solving $$ 1/72 = \sum 1/n_i, $$ and …