Type: Article
Publication Date: 1998-01-01
Citations: 46
DOI: https://doi.org/10.1023/a:1000539721162
We prove, assuming the generalized Riemann hypothesis for imaginary quadratic fields, the following special case of a conjecture of Oort, concerning Zarsiski closures of sets of CM points in Shimura varieties. Let X be an irreducible algebraic curve in C(m). The proof uses some number theory and some topological arguments.