A characterization of special subvarieties in orthogonal Shimura varieties
Stefan Müller-Stach, Kang Zuo
Number | 35 |
---|---|
Authors |
Kang Zuo
Stefan Müller-Stach |
Year | 2010 |
Let Y be a subvariety contained in a smooth Mumford compactification of an orthogonal Shimura variety M \subset A_g, where A_g is the moduli space of principally polarized abelian varieties of dimension g with some level structure, such that Y intersects the boundary of A_g transversally. Then we give necessary and sufficient conditions of Andr\'e-Oort type for Y itself being the compactification of a special subvariety Y^0 \subset M