On the three compactifications of Siegel space
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- Valery Alexeev (Georgia)
- Wednesday 02 March 2011, 14:15-15:15
- MR13, CMS.
If you have a question about this talk, please contact Burt Totaro.
The moduli space A_g of abelian varieties has three classical
toroidal compactifications: (1) perfect, (2) 2nd Voronoi, and (3)
Igusa blowup, each with its own distinct geometric meaning. It is an
interesting problem to understand exactly how these compactifications
are related.
I will show that (1) and (2) are isomorphic in a neighborhood of the
image of a regular map from Deligne-Mumford’s moduli space M_g bar,
and that the rational map from M_g bar
to A_g bar for (3) is not regular. This is a
joint work with Adrian Brunyate.
This talk is part of the Algebraic Geometry Seminar series.
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