A compactification of the moduli scheme of abelian varieties

Details A compactification of the moduli scheme of abelian varieties A compactification of the moduli scheme of abelian varieties

2001-07-23

arxiv.org/abs/math/0107158v1

Mathematics

Algebraic Geometry

20 pages in latex2e, no figures

Scientific paper

We construct a canonical compactification $SQ^{toric}_{g,K}$ of the moduli of abelian varieties over $Z[\zeta_N, 1/N]$ where $\zeta_N$ is a primitive $N$-th root of unity. This is very similar to, but slightly diferent from the compactification constructed by the author in Inventiones vol. 136 (1999). Any degenerate abelian scheme on the boundary of $SQ^{toric}_{g,K}$ is reduced and singular and it is one of the stable quasi-abelian varieties introduced by Alexeev and the author (Tohoku J. 1999).

Affiliated with

Also associated with

No associations

Rating

A compactification of the moduli scheme of abelian varieties does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A compactification of the moduli scheme of abelian varieties, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A compactification of the moduli scheme of abelian varieties will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-227174