Quebec Mathematical Sciences Colloquium

September 5, 2008 from 16:00 to 18:00 (Montreal/Miami time) On location

Stability and Compactification of the Moduli of Abelian Varieties

Colloquium presented by Iku Nakamura (Hokkaido University)

In arbitrary dimension, we canonically compactify the moduli space of abelian varieties by GIT-stability of Mumford. In the smallest possible case, dimension one and $N=3$, the problem is reduced to the study of planar cubic curves, more specifically Hesse cubic curves. Every GIT-stable cubic curve is isomorphic to a Hesse cubic curve.

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