Boundedness of the period maps and global Torelli theorem
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Publication:2400404
DOI10.1007/s11425-015-0858-1zbMath1506.14023OpenAlexW2483129242MaRDI QIDQ2400404
Publication date: 1 September 2017
Published in: Science China. Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11425-015-0858-1
Period matrices, variation of Hodge structure; degenerations (32G20) Research exposition (monographs, survey articles) pertaining to algebraic geometry (14-02) Variation of Hodge structures (algebro-geometric aspects) (14D07)
Cites Work
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- Mapping class group and a global Torelli theorem for hyperkähler manifolds
- A new proof of the global Torelli theorem for K3 surfaces
- Moduli theory and classification theory of algebraic varieties
- Variation of Hodge structure: The singularities of the period mapping
- Monodromy of hypergeometric functions and non-lattice integral monodromy
- Good reduction of algebraic groups and flag varieties
- Complete maps and differentiable coverings
- Locally homogeneous complex manifolds
- Periods of integrals on algebraic manifolds. III: Some global differential-geometric properties of the period mapping
- The moduli space of cubic threefolds as a ball quotient
- The complex hyperbolic geometry of the moduli space of cubic surfaces
- On the Torelli problem for kählerian $K-3$ surfaces
- Some Finiteness Results for Calabi-Yau Threefolds
- Periods of Integrals on Algebraic Manifolds, I. (Construction and Properties of the Modular Varieties)
- Periods of Integrals on Algebraic Manifolds, II: (Local Study of the Period Mapping)
- Periods of integrals on algebraic manifolds: Summary of main results and discussion of open problems
- A TORELLI THEOREM FOR ALGEBRAIC SURFACES OF TYPEK3
