A characterization of special subvarieties in orthogonal Shimura varieties

Abstract

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 André-Oort type for $Y$ itself being the compactification of a special subvariety $Y^0\subset M$

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References in corpus (1)

• Stability of Hodge bundles and a numerical characterization of Shimura varieties

Cited by in corpus (1)

• Special subvarieties in Mumford-Tate varieties