Oort’s conjecture for 𝐴_{𝑔}⊗ℂ

Keel, Sean; Sadun, Lorenzo

doi:10.1090/S0894-0347-03-00431-4

Oort’s conjecture for $A_{g} \otimes {\mathbb {C}}$
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by Sean Keel and Lorenzo Sadun;

J. Amer. Math. Soc. 16 (2003), 887-900

DOI: https://doi.org/10.1090/S0894-0347-03-00431-4

Published electronically: May 30, 2003

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Abstract:

We prove the conjecture of Oort that a compact subvariety of the moduli space of principally polarized Abelian varieties of genus $g$ has codimension strictly greater than $g$, in characteristic zero, for $g \geq 3$.

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