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The singularity of the canonical model of compact Kähler manifolds. (English) Zbl 0625.14004
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.

MSC:
 14C20 Divisors, linear systems, invertible sheaves 53C55 Global differential geometry of Hermitian and Kählerian manifolds
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References:
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