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23 April 2024

» arxiv » 1902.6098

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Totally geodesic subvarieties in the moduli space of curves
Alessandro Ghigi ; Gian Pietro Pirola ; Sara Torelli ;
Date:	16 Feb 2019
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 $ggeq 4$. We prove that if $Y$ is generically contained in the Torelli locus, then $dim Y leq (7g -2)/3$.
Source:	arXiv, 1902.6098
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