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Do all 0-dimensional Shimura Varieties show up (as CM points) in $\mathcal{A}_g$?

You can always map $(T,h)$ to the trivial Shimura datum and then this into the Siegel one. I assume this isn't what you want however. May I therefore modify the question to ask whether a zero dimensio …
Tom Lovering's user avatar
2 votes

Shimura varieties of type C

Without the restriction on the lie algebra, certainly. There are interesting examples of families of abelian varieties with (generically) no extra endomorphisms but whose generic Mumford-Tate group is …
Tom Lovering's user avatar