## 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 $g \geq 3$.## References

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## Bibliographic Information

**Sean Keel**- Affiliation: Department of Mathematics, University of Texas at Austin, Austin, Texas 78712
- MR Author ID: 289025
- Email: keel@math.utexas.edu
**Lorenzo Sadun**- Affiliation: Department of Mathematics, University of Texas at Austin, Austin, Texas, 78712
- Email: sadun@math.utexas.edu
- Received by editor(s): May 1, 2002
- Published electronically: May 30, 2003
- Additional Notes: The first author was partially supported by NSF grant DMS-9988874

The second author was partially supported by Texas ARP grant 003658-152 - © Copyright 2003 American Mathematical Society
- Journal: J. Amer. Math. Soc.
**16**(2003), 887-900 - MSC (2000): Primary 14K10
- DOI: https://doi.org/10.1090/S0894-0347-03-00431-4
- MathSciNet review: 1992828