Theta divisors whose Gauss map has a fiber of positive dimension
Algebraic Geometry
2020-01-14 v2
Abstract
We construct families of principally polarized abelian varieties whose theta divisor is irreducible and contains an abelian subvariety. These families are used to construct examples when the Gauss map of the theta divisor is only generically finite and not finite. That is, the Gauss map in these cases has at least one positive-dimensional fiber. We also obtain lower-bounds on the dimension of Andreotti-Mayer loci.
Keywords
Cite
@article{arxiv.1912.10518,
title = {Theta divisors whose Gauss map has a fiber of positive dimension},
author = {Robert Auffarth and Giulio Codogni},
journal= {arXiv preprint arXiv:1912.10518},
year = {2020}
}
Comments
Final version, several typos fixed. Any comments are welcome!