The moduli space of smooth ample hypersurfaces in Abelian varieties

被引：0

作者：

Catanese, Fabrizio ^{[1
,2
]}

Lee, Yongnam ^{[3
]}

机构：

[1] Univ Bayreuth, Math Inst, Lehrstuhl Math 8, NW 2,Univ Str 30, D-95447 Bayreuth, Germany

[2] Korea Inst Adv Study, Hoegiro 87, Seoul 133722, South Korea

[3] Korea Adv Inst Sci & Technol, Dept Math Sci, 291 Daehak Ro, Daejeon 34141, South Korea

来源：

ADVANCES IN MATHEMATICS | 2020年 / 365卷

关键词：

Hypersurfaces; Abelian varieties; Deformation theory; Embeddings; Iterated univariate coverings; Inoue-type varieties; CHERN NUMBERS; DEFORMATIONS; SURFACES;

D O I：

10.1016/j.aim.2020.107040

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a characterization of smooth ample Hypersurfaces in Abelian Varieties and also describe the connected component of the moduli space containing such hypersurfaces of a given polarization type: we show that this component is irreducible and that it consists of these Hypersurfaces, plus the smooth iterated univariate coverings of normal type (of the same polarization type). The above manifolds yield also a connected component of the open set of Teichmfiller space consisting of Kahler complex structures. (C) 2020 Elsevier Inc. All rights reserved.

引用

页数：17