English

On the universal abelian variety of dimension 4

Algebraic Geometry 2008-08-09 v2

Abstract

Let A be the moduli space of principally polarized abelian varieties of dimension 4 over an algebraically closed field k of characteristic different from 2,3. It is proved that the universal principally polarized abelian variety over A, as well as the universal theta divisor over A, are unirational varieties.

Keywords

Cite

@article{arxiv.0711.3890,
  title  = {On the universal abelian variety of dimension 4},
  author = {Alessandro Verra},
  journal= {arXiv preprint arXiv:0711.3890},
  year   = {2008}
}

Comments

Referee's version, appearing on Contemporary Math. vol. 465 (2008)