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arXiv · 1902.06098

Totally geodesic subvarieties in the moduli space of curves

Alessandro Ghigi·Gian Pietro Pirola·Sara Torelli
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Abstract

In this paper we study totally geodesic subvarieties $Y \subset \mathsf{A}_g$ of the moduli space of principally polarized abelian varieties with respect to the Siegel metric, for $g\geq 4$. We prove that if $Y$ is generically contained in the Torelli locus, then $\dim Y \leq (7g -2)/3$.

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Alessandro Ghigi, Gian Pietro Pirola, Sara Torelli. 2019-02-16. Totally geodesic subvarieties in the moduli space of curves. https://arxiv.org/abs/1902.06098

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