The moduli space of smooth ample hypersurfaces in abelian varieties
DOI10.1016/j.aim.2020.107040zbMath1439.14045arXiv1903.07764OpenAlexW3005921558MaRDI QIDQ2308297
Fabrizio Catanese, Yongnam Lee
Publication date: 2 April 2020
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1903.07764
abelian varietiesdeformation theoryembeddingshypersurfacesiterated univariate coveringsInoue-type varieties
Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Moduli, classification: analytic theory; relations with modular forms (14J15) Subvarieties of abelian varieties (14K12) Hypersurfaces and algebraic geometry (14J70) Deformations of complex structures (32G05) Formal methods and deformations in algebraic geometry (14D15) Deformations of submanifolds and subspaces (32G10)
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Cites Work
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- Topologically invariant Chern numbers of projective varieties
- Extension of holomorphic maps
- Topological methods in moduli theory
- Topology versus Chern numbers for complex 3-folds
- On deformations of quintic surfaces
- Global moduli for surfaces of general type
- On deformations of complex analytic structures. II
- On deformations of quintic and septic hypersurfaces
- Diffeomorphism of simply connected algebraic surfaces
- Deformation in the large of some complex manifolds. I.
- On deformations of holomorphic maps . I
- Weak positivity and the stability of certain Hilbert points. II
- Generalized Burniat type surfaces and Bagnera-de Franchis varieties
- A Superficial Working Guide to Deformations and Moduli
- Burniat surfaces I: fundamental groups and moduli of primary Burniat surfaces
- Deformations of Algebraic Schemes
- Inoue type manifolds and Inoue surfaces: a connected component of the moduli space of surfaces with $K^2=7, p_g = 0$
- On Isolated Rational Singularities of Surfaces
