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1: Suppose $A_g A_3$ is the moduli space of abelian varieties of dimension g 3 .Is the union of all one dimension shimura varieties in $A_g A_3$ connected?

2: Given a Shimura curve (explicit construction), can we decide what kind of CM point can occur in this Shimura curve?

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1: Suppose $A_g$ is the moduli space of abelian varieties of dimension g .Is the union of all Shimura curves one dimension shimura varieties in $A_g$ connected?

2: Given a Shimura curve (explicit construction), can we decide what kind of CM point can occur in this Shimura curve?

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# questionQuestions about Shimura curve?curves

1: suppose Suppose $A_g$ is the moduli space of abelian varieties of dimension g .Is the union of all shimure curve Shimura curves in $A_g$ connected?

2: given Given a shimura curve:(explicite construction),can Shimura curve (explicit construction), can we decide what kind of CM point can occur in this shimura Shimura curve?

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