Any component of moduli of polarized hyperkähler manifolds is dense in its deformation space (Q395261)
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scientific article; zbMATH DE number 6251656
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Any component of moduli of polarized hyperkähler manifolds is dense in its deformation space |
scientific article; zbMATH DE number 6251656 |
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Any component of moduli of polarized hyperkähler manifolds is dense in its deformation space (English)
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29 January 2014
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This is a very interesting paper in which the authors proves that for any (integral ample) Hodge class of a projective hyperkähler manifold, the irreducible component of the polarized moduli space is dense in its complex moduli space. This is a generalization of the similar case for the \(K3\) surfaces that the quartic surfaces are dense in the moduli of all the \(K3\) surfaces, which is known in the 1960's.
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moduli spaces
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hyperkähler manifolds
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Torelli theorem
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Hodge structures
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integer lattice
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Hodge class
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holomorphic symplectic
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