The moduli space of abelian varieties admits a natural partial compactification, due to Mumford,
by semi-abelic varieties of torus rank one. We calculate the class of the zero section of the partial
compactification in the Chow ring. We also discuss the Abel-Jacobi map from the moduli space
of marked curves to the moduli space of abelian varieties, and induced relations in the
tautological ring of curves. Joint work with Samuel Grushevsky.
Links:
[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] http://www.mpim-bonn.mpg.de/node/3444
[3] http://www.mpim-bonn.mpg.de/node/5312