Totally geodesic subvarieties in the moduli space of curves
Abstract
In this paper, we study totally geodesic subvarieties Y⊂Ag of the moduli space of principally polarized abelian varieties with respect to the Siegel metric, for g≥4. We prove that if Y is generically contained in the Torelli locus, then dimY≤(7g−2)/3.
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