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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.

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