The Moduli Space of smooth Ample Hypersurfaces in Abelian Varieties
Algebraic Geometry
2020-02-05 v3 Complex Variables
Abstract
We give a characterizaton of smooth ample Hypersurfaces in Abelian Varieties and also describe an irreducible connected component of their moduli space: it consists of the Hypersurfaces of a given polarization type, plus the iterated univariate coverings of normal type (of the same polarization type). The above manifolds yield also a connected component of the open set of Teichm\"uller space consisting of K\"ahler complex structures.
Keywords
Cite
@article{arxiv.1903.07764,
title = {The Moduli Space of smooth Ample Hypersurfaces in Abelian Varieties},
author = {Fabrizio Catanese and Yongnam Lee},
journal= {arXiv preprint arXiv:1903.07764},
year = {2020}
}
Comments
17 pages, final version to appear in Advances in Math