Numerical character of the effectivity of adjoint line bundles

Mathematics – Algebraic Geometry

Scientific paper

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Corollary 3 was modified, the rest is unchanged

Scientific paper

In this note we show that given a lc pair $(X, \Delta)$, a large enough
multiple of the bundle $K_X+ \Delta$ is effective provided that its Chern class
contains an effective $\bQ$-divisor.

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