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 dim Y ≤ (7g - 2)/3.
Totally geodesic subvarieties in the moduli space of curves
Ghigi, Alessandro
;Pirola, Gian Pietro;
2020-01-01
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 dim Y ≤ (7g - 2)/3.File in questo prodotto:
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