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Strong Calabi dream Bott manifolds - MaRDI portal

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Strong Calabi dream Bott manifolds (Q6592695)

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scientific article; zbMATH DE number 7901280
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English
Strong Calabi dream Bott manifolds
scientific article; zbMATH DE number 7901280

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    Strong Calabi dream Bott manifolds (English)
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    26 August 2024
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    Let \(X\) be a compact Kähler manifold. \(X\) is said to be a \textit{strong Calabi dream manifold} if any Kähler class on \(X\) admits a constant scalar curvature Kähler (cscK) metric. The main result of this paper implies that an \(n\)-dimensional Bott manifold which is also a strong Calabi dream manifold is in fact just a product of \(n\) copies of the projective line \(\mathbb{P}^1\).
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    K-stability
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    Bott manifolds
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