The singularity of the canonical model of compact Kähler manifolds (Q579347)

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scientific article; zbMATH DE number 4014874
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The singularity of the canonical model of compact Kähler manifolds
scientific article; zbMATH DE number 4014874

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    The singularity of the canonical model of compact Kähler manifolds (English)
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    1988
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    Let X be a compact Kähler manifold whose canonical ring \({\mathcal R}:=\oplus _{m\geq 0}H^ 0(X,{\mathcal O}_ x(mK_ x))\quad is\) finitely generated. Then there exists an effective \({\mathbb{Q}}\)-divisor \(\Delta\) on \(S:=\Pr oj {\mathcal R}\) such that (S,\(\Delta)\) is log-terminal.
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    canonical model of compact Kähler manifolds
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    canonical ring
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    effective divisor
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    log-terminal singularity
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