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arXiv · 1903.07764

The Moduli Space of smooth Ample Hypersurfaces in Abelian Varieties

Fabrizio Catanese·Yongnam Lee
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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.

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Fabrizio Catanese, Yongnam Lee. 2019-03-18. The Moduli Space of smooth Ample Hypersurfaces in Abelian Varieties. https://arxiv.org/abs/1903.07764

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