Definability of restricted theta functions and families of abelian varieties

Details Definability of restricted theta functions and families of abelian varieties Definability of restricted theta functions and families of abelian varieties

2011-03-16

arxiv.org/abs/1103.3110v1

Mathematics

Logic

Scientific paper

We consider some classical maps from the theory of abelian varieties and their moduli spaces and prove their definability, on restricted domains, in the o-minimal structure $\Rae$. In particular, we prove that the embedding of moduli space of principally polarized ableian varierty, $Sp(2g,\Z)\backslash \CH_g$, is definable in $\Rae$, when restricted to Siegel's fundamental set $\fF_g$. We also prove the definability, on appropriate domains, of embeddings of families of abelian varieties into projective space.

Affiliated with

Also associated with

No associations

Rating

Definability of restricted theta functions and families 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 Definability of restricted theta functions and families of abelian varieties, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Definability of restricted theta functions and families of abelian varieties will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-262417