Non-Kähler Calabi-Yau manifolds (Q2786827)
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scientific article; zbMATH DE number 6544853
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Non-Kähler Calabi-Yau manifolds |
scientific article; zbMATH DE number 6544853 |
Statements
23 February 2016
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Hermitian manifolds
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Calabi-Yau manifolds, torsion bundle
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Bott-Chern cohomology
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math.DG
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math.AG
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math.CV
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Non-Kähler Calabi-Yau manifolds (English)
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A non-Kähler Hermitian manifold is called Calabi-Yau if its first Chern class vanishes in the Bott-Chern cohomology. It is shown that such a manifold in the Fujiki class \(\mathcal C\) has torsion canonical bundle. The author provides examples showing that outside the Fujiki class it is no longer true. The paper is concluded with results on invariance of the zero first Chern class under small deformations of the complex structure.NEWLINENEWLINEFor the entire collection see [Zbl 1322.53004].
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