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Nonexistence of
certain closed complex geodesics in the moduli space of
curves
Domingo Toledo |
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Vol. 129 (1987), No. 1, 187–192
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Abstract |
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We prove that most compact totally geodesic curves in the Siegel moduli space Ag of g-dimensional principally polarized abelian varieties cannot lie in the image of the period mapping of the moduli space Mg of smooth curves of genus g. The meaning of “most” is in terms of the holomorphic sectional curvature of Siegel space—see the precise statement below. |
Mathematical Subject Classification 2000
Primary: 32G20
Secondary: 14H15, 32G15
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Milestones
Received: 13 November 1985
Published: 1 September 1987
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Authors |
| Domingo Toledo | |
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