MODNET
Research Training Network in Model Theory
Publications > Preprint server > Preprint Number 25

Preprint Number 308

Previous Next Preprint server


308. Ya'acov Peterzil and Sergei Starchenko
Definability of restricted theta functions and families of abelian varieties
E-mail:

Submission date: 16 March 2011.

Abstract:

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 R_{an,exp}. In particular, we prove that the embedding of moduli space of principally polarized ableian varierty, Sp(2g,Z)\H_g, is definable in R_{an,exp}, when restricted to Siegel's fundamental set F_g. We also prove the defiability, on appropriate domains, of embeddings of families of abelian varieties into projective space.

Mathematics Subject Classification:

Keywords and phrases:

Full text arXiv: pdf, ps.


Last updated: March 22 2011 13:20 Please send your corrections to: