Holomorphic symplectic manifolds and Lagrangian fibrations (Q1868201)
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scientific article; zbMATH DE number 1901294
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Holomorphic symplectic manifolds and Lagrangian fibrations |
scientific article; zbMATH DE number 1901294 |
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Holomorphic symplectic manifolds and Lagrangian fibrations (English)
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27 April 2003
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A simply connected compact Kähler manifold \(X\) is called irreducible symplectic if the vector space \(H^0 (X,\Omega^2_X)\) of holomorphic 2-forms is spanned by a nowhere degenerate 2-form. In this paper, the author presents the geometrical nature of a fiber space structure of an irreducible symplectic manifold and holomorphic Lagrangian fibrations.
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symplectic manifold
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Lagrangian fibration
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