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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

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